LCM of 60 and 62 is 1860. The value that is evenly divisible by 60 and 62 gives the LCM. The least common multiple of 60 and 62 can be obtained from the common multiples of the two numbers. The multiples of 60 are (60, 120, 180, 240, 300, ….) and the multiples of 62 are (62, 124, 186, 248, 310, 372, 434, ….) respectively. Prime factorisation, listing of the multiples and division are some of the most commonly used methods to determine the LCM.
Also read: Least common multiple
What is LCM of 60 and 62?
The answer to this question is 1860. The LCM of 60 and 62 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 60 and 62, is the smallest positive integer 1860 which is divisible by both 60 and 62 with no remainder.
How to Find LCM of 60 and 62?
LCM of 60 and 62 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 60 and 62 Using Prime Factorisation Method
The prime factorisation of 60 and 62, respectively, is given by:
60 = 2 x 2 x 3 x 5 = 2² x 3¹ x 5¹
62 = 2 x 31 = 2¹ x 31¹
LCM (60, 62) = 1860
LCM of 60 and 62 Using Division Method
We’ll divide the numbers (60, 62) by their prime factors to get the LCM of 60 and 62 using the division method (preferably common). The LCM of 60 and 62 is calculated by multiplying these divisors.
|
2 |
60 |
62 |
|
2 |
30 |
31 |
|
3 |
15 |
31 |
|
5 |
5 |
31 |
|
31 |
1 |
31 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (60, 62) = 1860
LCM of 60 and 62 Using Listing the Multiples
To calculate the LCM of 60 and 62 by listing out the common multiples, list the multiples as shown below
- Multiples of 60 = 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, . . . ., 1740, 1800, 1860, ….
- Multiples of 62 = 62, 124, 186, 248, 310, 372, 434, 496, 558, 620, . . . ., 1736, 1798, 1860, ….
LCM (60, 62) = 1860
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Video Lesson on Applications of LCM
LCM of 60 and 62 Solved Examples
Question: Calculate the smallest number which is exactly divisible by 60 and 62.
Solution:
The smallest number divisible by 60 and 62 exactly is the LCM
(60, 120, 180, 240, 300, 360, 420, 480, 540, 600, . . . ., 1740, 1800, 1860, ….) are the multiples of 60
(62, 124, 186, 248, 310, 372, 434, 496, 558, 620, . . . ., 1736, 1798, 1860, ….) are the multiples of 62
Hence, LCM of 60 and 62 is 1860.
Frequently Asked Questions on LCM of 60 and 62
What is the LCM of 60 and 62?
What is the GCF if the LCM of 60 and 62 is 1860?
LCM x GCF = 60 x 62
Given,
LCM of 60 and 62 is 1860
1860 x GCF = 1860
GCF = 1860/1860 = 1
What are the methods which can be applied to find the LCM of 60 and 62?
The product of two numbers is 3720 and the GCD is 2. Find the LCM.
Given
Product of two numbers = 3720
GCD = 2
LCM x GCD = Product of two numbers
LCM = Product/GCD
LCM = 3720/2 = 1860
Therefore, the LCM is 1860.
The LCM and GCD of two numbers are 1860 and 2. Determine the other number if one number is 60.
Consider n as the other number
GCD x LCM = 60 x n
n = (GCD x LCM)/60
n = (2 x 1860)/60
n = 62
Therefore, the other number is 62.
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