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LCM for 72 and 120

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 8640 ÷ 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

Related Calculations

See Also

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What is the LCM of 72 and 120?. Find the LCM of 72 and 120 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
571202280
581203480
591207080
60120120
611207320
621203720
631202520
64120960
651201560
661201320
671208040
681202040
691202760
70120840
711208520
72120360
731208760
741204440
75120600
761202280
771209240
781201560
791209480
80120240
811203240
821204920
831209960
84120840
851202040
861205160

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

Least Common Multiple of

and

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