LCM for 72 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 180?

Answer: LCM of 72 and 180 is 360

(Three hundred sixty)

Finding LCM for 72 and 180 using GCF's of these numbers

The first method to find LCM for numbers 72 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 180 is 36, so

LCM = (72 × 180) ÷ 36

LCM = 12960 ÷ 36

LCM = 360

Finding LCM for 72 and 180 by Listing Multiples

The second method to find LCM for numbers 72 and 180 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 180: 180, 360, 540, 720

So the LCM for 72 and 180 is 360

Finding LCM for 72 and 180 by Prime Factorization

Another method to find LCM for numbers 72 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 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 180? (The answer is: 360). Select the first number (e.g. '72') and the second number (e.g. '180'). 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

LCM Table

Number 1Number 2LCM
571803420
581805220
5918010620
60180180
6118010980
621805580
631801260
641802880
651802340
661801980
6718012060
681803060
691804140
701801260
7118012780
72180360
7318013140
741806660
75180900
761803420
7718013860
781802340
7918014220
80180720
811801620
821807380
8318014940
841801260
851803060
861807740

FAQ

What's the Least Common Multiple (LCM) of 72 and 180?

LCM of 72 and 180 is 360

See Also