LCM for 24 and 36

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 36?

Answer

LCM of 24 and 36 is 72

(Seventy-two)

Finding LCM for 24 and 36 using GCF of these numbers

The first method to find LCM for numbers 24 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 36 is 12, so

LCM = (24 × 36) ÷ 12

LCM = 864 ÷ 12

LCM = 72

Finding LCM for 24 and 36 by Listing Multiples

The second method to find LCM for numbers 24 and 36 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 36: 36, 72, 108, 144

So the LCM for 24 and 36 is 72

Finding LCM for 24 and 36 by Prime Factorization

Another method to find LCM for numbers 24 and 36 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 36: 2, 2, 3, 3 (exponent form: 22, 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 36? (The answer is: 72). Select the first number (e.g. '24') and the second number (e.g. '36'). 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 1 Number 2 LCM
9 36 36
10 36 180
11 36 396
12 36 36
13 36 468
14 36 252
15 36 180
16 36 144
17 36 612
18 36 36
19 36 684
20 36 180
21 36 252
22 36 396
23 36 828
24 36 72
25 36 900
26 36 468
27 36 108
28 36 252
29 36 1044
30 36 180
31 36 1116
32 36 288
33 36 396
34 36 612
35 36 1260
36 36 36
37 36 1332
38 36 684

FAQ

What's the Least Common Multiple (LCM) of 24 and 36?
LCM of 24 and 36 is 72

How to find the LCM of 24 and 36 using prime factorization?
To find the LCM of 24 and 36, 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 36: LCM = 72, GCF = 12.

See Also