LCM of 7 and 19 is 133. In Mathematics, the LCM value is evenly divisible by the given two numbers. Least common multiples of 7 and 19 can be calculated by considering the common multiples. (7, 14, 21, 28, 35, ….) and (19, 38, 57, 76, 95, 114, 133,….) are the first set of multiples of the numbers 7 and 19. We can calculate the LCM effortlessly using prime factorisation, the division method and by listing out the multiples.
Also read: Least common multiple
What is LCM of 7 and 19?
The answer to this question is 133. The LCM of 7 and 19 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 7 and 19, is the smallest positive integer 133 which is divisible by both 7 and 19 with no remainder.
How to Find LCM of 7 and 19?
LCM of 7 and 19 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 7 and 19 Using Prime Factorisation Method
The prime factorisation of 7 and 19, respectively, is given by:
7 = 7 = 7¹
19 = 19 = 19¹
LCM (7, 19) = 133
LCM of 7 and 19 Using Division Method
We’ll divide the numbers (7, 19) by their prime factors to get the LCM of 7 and 19 using the division method (preferably common). The LCM of 7 and 19 is calculated by multiplying these divisors.
|
7 |
7 |
19 |
|
19 |
1 |
19 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (7, 19) = 133
LCM of 7 and 19 Using Listing the Multiples
To calculate the LCM of 7 and 19 by listing out the common multiples, list the multiples as shown below
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, . . . ., 112, 119, 126, 133, ….
Multiples of 19 = 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, . . . ., 95, 114, 133, …..
LCM (7, 19) = 133
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LCM of 7 and 19 Solved Examples
Question: If the product of two numbers is 133 and the GCD is 1, find the LCM.
Solution:
It is given that
Product of two numbers = 133
GCD = 1
We know that
LCM x GCD = Product of two numbers
LCM = Product/GCD
LCM = 133/1
LCM = 133
Hence, the LCM is 133.
Frequently Asked Questions on LCM of 7 and 19
Find the LCM of 7 and 19.
Which methods can be used to get the LCM of 7 and 19?
What is the GCF if the LCM of 7 and 19 is 133?
LCM x GCF = 7 x 19
Given
LCM of 7 and 19 = 133
133 x GCF = 133
GCF = 133/133 = 1
What is the LCM of 7 and 19?
Show the relation between GCF and LCM of 7 and 19.
The relation between GCF and LCM of 7 and 19 is
GCF x LCM = 7 x 19
GCF x LCM = 133
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