LCM for 9 and 12

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 9 and 12?

Answer: LCM of 9 and 12 is 36

(Thirty-six)

Finding LCM for 9 and 12 using GCF's of these numbers

The first method to find LCM for numbers 9 and 12 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 12 is 3, so

LCM = (9 × 12) ÷ 3

LCM = 108 ÷ 3

LCM = 36

Finding LCM for 9 and 12 by Listing Multiples

The second method to find LCM for numbers 9 and 12 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 9: 9, 18, 27, 36, 45, 54

Multiples of 12: 12, 24, 36, 48, 60

So the LCM for 9 and 12 is 36

Finding LCM for 9 and 12 by Prime Factorization

Another method to find LCM for numbers 9 and 12 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 9: 3, 3 (exponent form: 32)

All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)

32 × 22 = 36

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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 9 and 12? (The answer is: 36). Select the first number (e.g. '9') and the second number (e.g. '12'). 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

LCM Table

Number 1Number 2LCM
11212
21212
31212
41212
51260
61212
71284
81224
91236
101260
1112132
121212
1312156
141284
151260
161248
1712204
181236
1912228
201260
211284
2212132
2312276
241224
2512300
2612156
2712108
281284
2912348
301260

FAQ

What's the Least Common Multiple (LCM) of 9 and 12?

LCM of 9 and 12 is 36

See Also