LCM of 24 and 42

LCM of 24 and 42 is 168. The common multiple evenly divisible by 24 and 42 provides the LCM value. The least common multiple of 24 and 42 can be determined with the help of the common multiples we get using the multiplication process. (24, 48, 72, 96, 120, 144, ….) and (42, 84, 126, 168, 210,….) are the first few multiples of 24 and 42. We can use methods such as division, prime factorisation and listing of multiples to determine the LCM. 

Also read: Least common multiple

What is LCM of 24 and 42?

The answer to this question is 168. The LCM of 24 and 42 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 24 and 42, is the smallest positive integer 168 which is divisible by both 24 and 42 with no remainder.

How to Find LCM of 24 and 42?

LCM of 24 and 42 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 24 and 42 Using Prime Factorisation Method

The prime factorisation of 24 and 42, respectively, is given by:

24 = 2 x 2 x 2 x 3 = 2³ x 3¹

42 = 2 x 3 x 7 = 2¹ x 3¹ x 7¹

LCM (24, 42) = 168

LCM of 24 and 42 Using Division Method

We’ll divide the numbers (24, 42) by their prime factors to get the LCM of 24 and 42 using the division method (preferably common). The LCM of 24 and 42 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (24, 42) = 168

LCM of 24 and 42 Using Listing the Multiples

To calculate the LCM of 24 and 42 by listing out the common multiples, list the multiples as shown below

LCM (24, 42) = 168

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• HCF and LCM
• Prime Factorization
• LCM calculator
• Prime Factorization Calculator

Video Lesson on Applications of LCM

LCM of 24 and 42 Solved Examples 

Question: The LCM and GCD of two numbers are 168 and 6 respectively. Find the other number if one number is 42.

Solution:

Consider m as the other number

GCD x LCM = 42 x m

m = (GCD x LCM)/42

m = (6 x 168)/42

m = 24

Hence, the other number is 24.