LCM of 37 and 47 is 1739. The methods used to find the least common multiple of 37 and 47 are discussed effectively in this article. (37, 74, 111, 148, ….) and (47, 94, 141, 188,….) are the multiples of 37 and 47. The ways to find the LCM of two numbers with the help of prime factorisation, by listing the multiples and division are offered at BYJU’S for absolutely free of cost.
Also read: Least common multiple
What is LCM of 37 and 47?
The answer to this question is 1739. The LCM of 37 and 47 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 37 and 47, is the smallest positive integer 1739 which is divisible by both 37 and 47 with no remainder.
How to Find LCM of 37 and 47?
LCM of 37 and 47 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 37 and 47 Using Prime Factorisation Method
The prime factorisation of 37 and 47, respectively, is given by:
37 = 37¹
47 = 47¹
LCM (37,47) = 1739
LCM of 37 and 47 Using Division Method
We’ll divide the numbers (37, 47) by their prime factors to get the LCM of 37 and 47 using the division method (preferably common). The LCM of 37 and 47 is calculated by multiplying these divisors.
|
37 |
37 |
47 |
|
47 |
1 |
47 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (37, 47) = 1739
LCM of 37 and 47 Using Listing the Multiples
To calculate the LCM of 37 and 47 by listing out the common multiples, list the multiples as shown below.
Multiples of 37 = 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, . . . ., 1628, 1665, 1702, 1739, . . . .
Multiples of 47 = 47, 94, 141, 188, 235, 282, 329, 376, 423, 470, . . . ., 1645, 1692, 1739, . . . .
LCM (37, 47) = 1739
Related Articles
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
Video Lesson on Applications of LCM
LCM of 37 and 47 Solved Examples
Question: If the product of two numbers is 1739 and GCD is 1, find the LCM.
Solution:
Given
Product = 1739
GCD = 1
LCM x GCD = Product
LCM = Product/GCD
LCM = 1739/1 = 1739
Hence, the LCM is 1739.
Frequently Asked Questions on LCM of 37 and 47
From the numbers 1500, 1350, 1739, 3000, what is the LCM of 37 and 47?
Which are the methods used to determine the LCM of 37 and 47?
Using the listing of multiples, find the LCM of 37 and 47.
First let us list out the multiples
(37, 74, 111, 148, 185, 222, 259, 296, 333, 370, . . . ., 1628, 1665, 1702, 1739, . . . .) are the multiples of 37
(47, 94, 141, 188, 235, 282, 329, 376, 423, 470, . . . ., 1645, 1692, 1739, . . . .) are the multiples of 47
Hence, the LCM is 1739.
What is the LCM of 37 and 47?
Determine the LCM of 37 and 47 using prime factorisation.
Using prime factorisation,
37 = 37¹
47 = 47¹
Therefore, the LCM is 1739.
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