LCM for 90 and 120

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What's the Least Common Multiple (LCM) of 90 and 120?

Answer

LCM of 90 and 120 is
360

(Three hundred sixty)

Finding LCM for 90 and 120 using GCF of these numbers

The first method to find LCM for numbers 90 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 120 is 30, so

LCM = (90 × 120) ÷ 30

LCM = 10,800 ÷ 30

LCM = 360

Finding LCM for 90 and 120 by Listing Multiples

The second method to find LCM for numbers 90 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 90: 90, 180, 270, 360, 450, 540

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

So the LCM for 90 and 120 is 360

Finding LCM for 90 and 120 by Prime Factorization

Another method to find LCM for numbers 90 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

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 90 and 120? (The answer is: 360). Select the first number (e.g. '90') 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
90100900
90120360
901301,170
90135270
901401,260
901452,610
90150450
90165990
901901,710
902001,800
902053,690
90210630
902153,870
902302,070
902354,230
902502,250
902551,530
902602,340
90270270
902754,950
902802,520
902851,710
902902,610
903055,490
90315630
903452,070
90360360
903856,930
90405810
904257,650

FAQ

What's the Least Common Multiple (LCM) of 90 and 120?

LCM of 90 and 120 is 360

How to find the LCM of 90 and 120 using prime factorization?

To find the LCM of 90 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 90 and 120: LCM = 360, GCF = 30.

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