LCM for 24 and 72

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Least Common Multiple of
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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 = 1,728 ÷ 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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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
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LCM Table

Number 1Number 2LCM
2431744
243296
2435840
243672
2440120
2441984
2442168
2444264
2445360
2446552
244848
2451408
24531,272
2454216
24551,320
2456168
2457456
2460120
2464192
247272
2480240
2484168
2488264
2490360
249696
24100600
24104312
24120120
24210840
241,0003,000

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.

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