LCM for 108 and 120

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What's the Least Common Multiple (LCM) of 108 and 120?

Answer

LCM of 108 and 120 is
1,080

(One thousand eighty)

Finding LCM for 108 and 120 using GCF of these numbers

The first method to find LCM for numbers 108 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 108 and 120 is 12, so

LCM = (108 × 120) ÷ 12

LCM = 12,960 ÷ 12

LCM = 1,080

Finding LCM for 108 and 120 by Listing Multiples

The second method to find LCM for numbers 108 and 120 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

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1,080, 1,200, 1,320

So the LCM for 108 and 120 is 1,080

Finding LCM for 108 and 120 by Prime Factorization

Another method to find LCM for numbers 108 and 120 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 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

23 × 33 × 51 = 1,080

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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 120? (The answer is: 1,080). Select the first number (e.g. '108') and the second number (e.g. '120'). 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
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LCM Table

Number 1Number 2LCM
1081053,780
1081065,724
10810711,556
108108108
10810911,772
1081105,940
1081113,996
1081123,024
10811312,204
1081142,052
10811512,420
1081163,132
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

FAQ

What's the Least Common Multiple (LCM) of 108 and 120?

LCM of 108 and 120 is 1,080

How to find the LCM of 108 and 120 using prime factorization?

To find the LCM of 108 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,080.

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 120: LCM = 1,080, GCF = 12.

See Also