LCM for 36 and 24

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

Answer: LCM of 36 and 24 is 72

(Seventy-two)

Finding LCM for 36 and 24 using GCF's of these numbers

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 24 is 12, so

LCM = (36 × 24) ÷ 12

LCM = 864 ÷ 12

LCM = 72

Finding LCM for 36 and 24 by Listing Multiples

The second method to find LCM for numbers 36 and 24 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144

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

So the LCM for 36 and 24 is 72

Finding LCM for 36 and 24 by Prime Factorization

Another method to find LCM for numbers 36 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

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

23 × 32 = 72

LCM Table

Number 1Number 2LCM
2124
2224264
2324552
242424
2524600
2624312
2724216
2824168
2924696
3024120
3124744
322496
3324264
3424408
3524840
3624
3724888
3824456
3924312
4024120
4124984
4224168
43241032
4424264
4524360
4624552
47241128
482448
49241176
5024600

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 36 and 24? (The answer is: 72). Select the first number (e.g. '36') and the second number (e.g. '24'). 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

FAQ

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

LCM of 36 and 24 is 72