LCM for 72 and 120

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What's the Least Common Multiple (LCM) of 72 and 120?

Answer

LCM of 72 and 120 is
360

(Three hundred sixty)

Finding LCM for 72 and 120 using GCF of these numbers

The first method to find LCM for numbers 72 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 120 is 24, so

LCM = (72 × 120) ÷ 24

LCM = 8,640 ÷ 24

LCM = 360

Finding LCM for 72 and 120 by Listing Multiples

The second method to find LCM for numbers 72 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504

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

So the LCM for 72 and 120 is 360

Finding LCM for 72 and 120 by Prime Factorization

Another method to find LCM for numbers 72 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 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 72 and 120? (The answer is: 360). Select the first number (e.g. '72') 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
721052,520
721063,816
721077,704
72108216
721097,848
721103,960
721112,664
721121,008
721138,136
721141,368
721158,280
721162,088
72117936
721184,248
721198,568
72120360
721218,712
721224,392
721232,952
721242,232
721259,000
72126504
721279,144
721281,152
721293,096
721304,680
721319,432
72132792
721339,576
721344,824

FAQ

What's the Least Common Multiple (LCM) of 72 and 120?

LCM of 72 and 120 is 360

How to find the LCM of 72 and 120 using prime factorization?

To find the LCM of 72 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 72 and 120: LCM = 360, GCF = 24.

See Also