LCM of 37 and 47

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.

lcm of 37 and 47

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

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

Q1

From the numbers 1500, 1350, 1739, 3000, what is the LCM of 37 and 47?

The smallest multiple that is common and divisible by 37 and 47 gives the LCM value. The number 1739 satisfies this condition.
Q2

Which are the methods used to determine the LCM of 37 and 47?

The methods used to determine the LCM of 37 and 47 are Prime factorisation, Division and Listing the multiples.
Q3

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.

Q4

What is the LCM of 37 and 47?

The LCM of 37 and 47 is 1739.
Q5

Determine the LCM of 37 and 47 using prime factorisation.

Using prime factorisation,

37 = 37¹

47 = 47¹

Therefore, the LCM is 1739.

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*