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LCM of 24 and 30 Calculator

LCM Calculator computes the LCM of two numbers i.e. 24 and 30 and gives the Least Common Multiple 120 the smallest integer that is divisible by both the numbers.

Least Common Multiple of 24 and 30 is 120

LCM(24, 30) = 120

Ex: number 1 - 1500 and number 2 - 20.

LCM of
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Finding LCM of two numbers 24 and 30 using Prime Factorization Method

Check out the procedure to find the Least Common Multiple of 24 and 30 using the Prime Factorization Method. They are as follows

Step 1: Firstly, find the Prime Factorization of given numbers 24, 30

Prime Factorization of 24 is as such


2 24
2 12
2 6
3 3
1

Prime factors of 24 are 2,3. Prime factorization of 24 in exponent form is:

24 = 23×31

Prime Factorization of 30 is as follows


2 30
3 15
5 5
1

Prime factors of 30 are 2, 3,5. Prime factorization of 30 in exponent form is:

30 = 21×31×51

Step 2: Multiply together each of the Prime Numbers with the highest power to obtain the Least Common Multiple

On doing so, you will get the resultant equation as 23×31×51= 120

Therefore, LCM of two numbers 24 and 30 is 120

LCM(24,30) = 120

Finding LCM of two numbers 24 and 30 using GCF Formula

Go through the simple and easy steps listed to know the Least Common Multiple of 24, 30 using the GCF Formula

Step 1: Find the Greatest Common Factor of 24, 30 initially.

Greatest Common Factor is the largest integer by which both the numbers can be divided. The GCF of 24, 30 is 6.

Simply use the GCF obtained in the formula to find the Least Common Multiple i.e. LCM(a,b) =a*b/GCF(a,b)

Substitute the inputs in the formula and you will get as under

LCM(24,30)= 24*30/GCF(24, 30)

= 24*30/6

= 120

Thus, LCM(24,30) using the GCF Formula is 120

FAQs on LCM of two numbers 24, 30

1. What is the LCM of two numbers 24, 30?

LCM of two numbers 24, 30 is 120

2. How to find LCM of two numbers 24, 30 easily?

To find the LCM of two numbers 24, 30 take the help of LCM Calculator and get the result in a fraction of second.

3. Where do I get a detailed Procedure explaining the LCM of numbers 24, 30?

You can find a detailed Procedure explaining the LCM of numbers 24, 30 on our page.