LCM for 36 and 96

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 36 and 96?

Answer: LCM of 36 and 96 is 288

(Two hundred eighty-eight)

Finding LCM for 36 and 96 using GCF's of these numbers

The first method to find LCM for numbers 36 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 96 is 12, so

LCM = (36 × 96) ÷ 12

LCM = 3456 ÷ 12

LCM = 288

Finding LCM for 36 and 96 by Listing Multiples

The second method to find LCM for numbers 36 and 96 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360

Multiples of 96: 96, 192, 288, 384, 480

So the LCM for 36 and 96 is 288

Finding LCM for 36 and 96 by Prime Factorization

Another method to find LCM for numbers 36 and 96 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 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)

25 × 32 = 288

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LCM Table

Number 1Number 2LCM
2196672
22961056
23962208
249696
25962400
26961248
2796864
2896672
29962784
3096480
31962976
329696
33961056
34961632
35963360
3696288
37963552
38961824
39961248
4096480
41963936
4296672
43964128
44961056
45961440
46962208
47964512
489696
49964704
50962400

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 96? (The answer is: 288). Select the first number (e.g. '36') and the second number (e.g. '96'). 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 36 and 96?

LCM of 36 and 96 is 288

See Also