LCM for 12 and 108

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 12 and 108?

Answer

LCM of 12 and 108 is
108

(One hundred eight)

Finding LCM for 12 and 108 using GCF of these numbers

The first method to find LCM for numbers 12 and 108 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 108 is 12, so

LCM = (12 × 108) ÷ 12

LCM = 1,296 ÷ 12

LCM = 108

Finding LCM for 12 and 108 by Listing Multiples

The second method to find LCM for numbers 12 and 108 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, 120, 132

Multiples of 108: 108, 216, 324

So the LCM for 12 and 108 is 108

Finding LCM for 12 and 108 by Prime Factorization

Another method to find LCM for numbers 12 and 108 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 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

22 × 33 = 108

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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 108? (The answer is: 108). Select the first number (e.g. '12') and the second number (e.g. '108'). 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
123296
1233132
1235420
123636
1239156
1240120
124284
1244132
1245180
1246276
124848
1250300
1252156
1255660
1257228
1258348
126060
1266132
1268204
127272
1275300
1276228
1278156
1280240
128484
1288264
12100300
12108108
12180180
12300300

FAQ

What's the Least Common Multiple (LCM) of 12 and 108?

LCM of 12 and 108 is 108

How to find the LCM of 12 and 108 using prime factorization?

To find the LCM of 12 and 108, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 108.

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 108: LCM = 108, GCF = 12.

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