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LCM for 24 and 18

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 18?

Answer

LCM of 24 and 18 is 72

(Seventy-two)

Finding LCM for 24 and 18 using GCF of these numbers

The first method to find LCM for numbers 24 and 18 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 18 is 6, so

LCM = (24 × 18) ÷ 6

LCM = 432 ÷ 6

LCM = 72

Finding LCM for 24 and 18 by Listing Multiples

The second method to find LCM for numbers 24 and 18 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 18: 18, 36, 54, 72, 90, 108

So the LCM for 24 and 18 is 72

Finding LCM for 24 and 18 by Prime Factorization

Another method to find LCM for numbers 24 and 18 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 18: 2, 3, 3 (exponent form: 21, 32)

23 × 32 = 72

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What is the LCM of 24 and 18?. Find the LCM of 24 and 18 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/24--18/generated.jpgCopy

LCM Table

Number 1Number 2LCM
91818
101890
1118198
121836
1318234
1418126
151890
1618144
1718306
181818
1918342
2018180
2118126
2218198
2318414
241872
2518450
2618234
271854
2818252
2918522
301890
3118558
3218288
3318198
3418306
3518630
361836
3718666
3818342

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 18? (The answer is: 72). Select the first number (e.g. '24') and the second number (e.g. '18'). 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 18?

LCM of 24 and 18 is 72

How to find the LCM of 24 and 18 using prime factorization?

To find the LCM of 24 and 18, 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 18: LCM = 72, GCF = 6.

See Also