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LCM for 24 and 72

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 72?

Answer

LCM of 24 and 72 is 72

(Seventy-two)

Finding LCM for 24 and 72 using GCF of these numbers

The first method to find LCM for numbers 24 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 72 is 24, so

LCM = (24 × 72) ÷ 24

LCM = 1728 ÷ 24

LCM = 72

Finding LCM for 24 and 72 by Listing Multiples

The second method to find LCM for numbers 24 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 24: 24, 48, 72, 96, 120

Multiples of 72: 72, 144, 216

So the LCM for 24 and 72 is 72

Finding LCM for 24 and 72 by Prime Factorization

Another method to find LCM for numbers 24 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

23 × 32 = 72

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What is the LCM of 24 and 72?. Find the LCM of 24 and 72 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
97272
1072360
1172792
127272
1372936
1472504
1572360
1672144
17721224
187272
19721368
2072360
2172504
2272792
23721656
247272
25721800
2672936
2772216
2872504
29722088
3072360
31722232
3272288
3372792
34721224
35722520
367272
37722664
38721368

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 24 and 72? (The answer is: 72). Select the first number (e.g. '24') and the second number (e.g. '72'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 24 and 72?

LCM of 24 and 72 is 72

How to find the LCM of 24 and 72 using prime factorization?

To find the LCM of 24 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 24 and 72: LCM = 72, GCF = 24.

See Also