LCM for 72 and 264

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 264?

Answer: LCM of 72 and 264 is 792

(Seven hundred ninety-two)

Finding LCM for 72 and 264 using GCF's of these numbers

The first method to find LCM for numbers 72 and 264 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 264 is 24, so

LCM = (72 × 264) ÷ 24

LCM = 19008 ÷ 24

LCM = 792

Finding LCM for 72 and 264 by Listing Multiples

The second method to find LCM for numbers 72 and 264 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, 576, 648, 720, 792, 864, 936

Multiples of 264: 264, 528, 792, 1056, 1320

So the LCM for 72 and 264 is 792

Finding LCM for 72 and 264 by Prime Factorization

Another method to find LCM for numbers 72 and 264 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 264: 2, 2, 2, 3, 11 (exponent form: 23, 31, 111)

23 × 32 × 111 = 792

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LCM Table

Number 1Number 2LCM
572645016
582647656
5926415576
602641320
6126416104
622648184
632645544
642642112
6526417160
66264264
6726417688
682644488
692646072
702649240
7126418744
72264792
7326419272
742649768
752646600
762645016
772641848
782643432
7926420856
802642640
812647128
8226410824
8326421912
842641848
8526422440
8626411352

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 264? (The answer is: 792). Select the first number (e.g. '72') and the second number (e.g. '264'). 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 264?

LCM of 72 and 264 is 792

See Also