LCM for 12 and 7

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 12 and 7?

Answer

LCM of 12 and 7 is 84

(Eighty-four)

Finding LCM for 12 and 7 using GCF of these numbers

The first method to find LCM for numbers 12 and 7 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 7 is 1, so

LCM = (12 × 7) ÷ 1

LCM = 84 ÷ 1

LCM = 84

Finding LCM for 12 and 7 by Listing Multiples

The second method to find LCM for numbers 12 and 7 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

So the LCM for 12 and 7 is 84

Finding LCM for 12 and 7 by Prime Factorization

Another method to find LCM for numbers 12 and 7 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 7: 7 (exponent form: 71)

22 × 31 × 71 = 84

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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 12 and 7? (The answer is: 84). Select the first number (e.g. '12') and the second number (e.g. '7'). 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
177
2714
3721
4728
5735
6742
777
8756
9763
10770
11777
12784
13791
14714
157105
167112
177119
187126
197133
207140
21721
227154
237161
247168
257175
267182
277189
28728
297203
307210

FAQ

What's the Least Common Multiple (LCM) of 12 and 7?

LCM of 12 and 7 is 84

How to find the LCM of 12 and 7 using prime factorization?

To find the LCM of 12 and 7, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 84.

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 12 and 7: LCM = 84, GCF = 1.

See Also