LCM for 108 and 132

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What's the Least Common Multiple (LCM) of 108 and 132?

Answer

LCM of 108 and 132 is
1,188

(One thousand one hundred eighty-eight)

Finding LCM for 108 and 132 using GCF of these numbers

The first method to find LCM for numbers 108 and 132 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 108 and 132 is 12, so

LCM = (108 × 132) ÷ 12

LCM = 14,256 ÷ 12

LCM = 1,188

Finding LCM for 108 and 132 by Listing Multiples

The second method to find LCM for numbers 108 and 132 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 108: 108, 216, 324, 432, 540, 648, 756, 864, 972, 1,080, 1,188, 1,296, 1,404

Multiples of 132: 132, 264, 396, 528, 660, 792, 924, 1,056, 1,188, 1,320, 1,452

So the LCM for 108 and 132 is 1,188

Finding LCM for 108 and 132 by Prime Factorization

Another method to find LCM for numbers 108 and 132 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

All Prime Factors of 132: 2, 2, 3, 11 (exponent form: 22, 31, 111)

22 × 33 × 111 = 1,188

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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 108 and 132? (The answer is: 1,188). Select the first number (e.g. '108') and the second number (e.g. '132'). 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
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LCM Table

Number 1Number 2LCM
1081171,404
1081186,372
10811912,852
1081201,080
10812113,068
1081226,588
1081234,428
1081243,348
10812513,500
108126756
10812713,716
1081283,456
1081294,644
1081307,020
10813114,148
1081321,188
10813314,364
1081347,236
108135540
1081363,672
10813714,796
1081382,484
10813915,012
1081403,780
1081415,076
1081427,668
10814315,444
108144432
10814515,660
1081467,884

FAQ

What's the Least Common Multiple (LCM) of 108 and 132?

LCM of 108 and 132 is 1,188

How to find the LCM of 108 and 132 using prime factorization?

To find the LCM of 108 and 132, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,188.

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 108 and 132: LCM = 1,188, GCF = 12.

See Also