LCM for 36 and 120

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What's the Least Common Multiple (LCM) of 36 and 120?

Answer

LCM of 36 and 120 is
360

(Three hundred sixty)

Finding LCM for 36 and 120 using GCF of these numbers

The first method to find LCM for numbers 36 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 120 is 12, so

LCM = (36 × 120) ÷ 12

LCM = 4,320 ÷ 12

LCM = 360

Finding LCM for 36 and 120 by Listing Multiples

The second method to find LCM for numbers 36 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432

Multiples of 120: 120, 240, 360, 480, 600

So the LCM for 36 and 120 is 360

Finding LCM for 36 and 120 by Prime Factorization

Another method to find LCM for numbers 36 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

23 × 32 × 51 = 360

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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 36 and 120? (The answer is: 360). Select the first number (e.g. '36') 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
Least Common Multiple of
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LCM Table

Number 1Number 2LCM
3627108
3628252
3640360
3642252
36431,548
3644396
3645180
3646828
3648144
36491,764
3651612
3652468
36531,908
3654108
3656504
36581,044
3660180
3663252
3664576
3680720
3681324
3684252
3690180
36100900
361121,008
36120360
361214,356
36144144
36162324
36900900

FAQ

What's the Least Common Multiple (LCM) of 36 and 120?

LCM of 36 and 120 is 360

How to find the LCM of 36 and 120 using prime factorization?

To find the LCM of 36 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 36 and 120: LCM = 360, GCF = 12.

See Also