LCM for 18 and 12

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 18 and 12?

Answer

LCM of 18 and 12 is 36

(Thirty-six)

Finding LCM for 18 and 12 using GCF of these numbers

The first method to find LCM for numbers 18 and 12 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 12 is 6, so

LCM = (18 × 12) ÷ 6

LCM = 216 ÷ 6

LCM = 36

Finding LCM for 18 and 12 by Listing Multiples

The second method to find LCM for numbers 18 and 12 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 18: 18, 36, 54, 72

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

So the LCM for 18 and 12 is 36

Finding LCM for 18 and 12 by Prime Factorization

Another method to find LCM for numbers 18 and 12 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

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

22 × 32 = 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 18 and 12? (The answer is: 36). Select the first number (e.g. '18') 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
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
3112372
321296

FAQ

What's the Least Common Multiple (LCM) of 18 and 12?

LCM of 18 and 12 is 36

How to find the LCM of 18 and 12 using prime factorization?

To find the LCM of 18 and 12, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 36.

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 18 and 12: LCM = 36, GCF = 6.

See Also