LCM for 24 and 272

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 272?

Answer: LCM of 24 and 272 is 816

(Eight hundred sixteen)

Finding LCM for 24 and 272 using GCF's of these numbers

The first method to find LCM for numbers 24 and 272 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 272 is 8, so

LCM = (24 × 272) ÷ 8

LCM = 6528 ÷ 8

LCM = 816

Finding LCM for 24 and 272 by Listing Multiples

The second method to find LCM for numbers 24 and 272 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864

Multiples of 272: 272, 544, 816, 1088, 1360

So the LCM for 24 and 272 is 816

Finding LCM for 24 and 272 by Prime Factorization

Another method to find LCM for numbers 24 and 272 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

All Prime Factors of 272: 2, 2, 2, 2, 17 (exponent form: 24, 171)

24 × 31 × 171 = 816

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LCM Table

Number 1Number 2LCM
92722448
102721360
112722992
12272816
132723536
142721904
152724080
16272272
17272272
182722448
192725168
202721360
212725712
222722992
232726256
24272816
252726800
262723536
272727344
282721904
292727888
302724080
312728432
32272544
332728976
34272272
352729520
362722448
3727210064
382725168

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 24 and 272? (The answer is: 816). Select the first number (e.g. '24') and the second number (e.g. '272'). 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

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FAQ

What's the Least Common Multiple (LCM) of 24 and 272?

LCM of 24 and 272 is 816