LCM for 72 and 282

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 282?

Answer: LCM of 72 and 282 is 3,384

(Three thousand, three hundred eighty-four)

Finding LCM for 72 and 282 using GCF's of these numbers

The first method to find LCM for numbers 72 and 282 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 282 is 6, so

LCM = (72 × 282) ÷ 6

LCM = 20304 ÷ 6

LCM = 3384

Finding LCM for 72 and 282 by Listing Multiples

The second method to find LCM for numbers 72 and 282 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, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656, 1728, 1800, 1872, 1944, 2016, 2088, 2160, 2232, 2304, 2376, 2448, 2520, 2592, 2664, 2736, 2808, 2880, 2952, 3024, 3096, 3168, 3240, 3312, 3384, 3456, 3528

Multiples of 282: 282, 564, 846, 1128, 1410, 1692, 1974, 2256, 2538, 2820, 3102, 3384, 3666, 3948

So the LCM for 72 and 282 is 3384

Finding LCM for 72 and 282 by Prime Factorization

Another method to find LCM for numbers 72 and 282 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 282: 2, 3, 47 (exponent form: 21, 31, 471)

23 × 32 × 471 = 3384

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LCM Table

Number 1Number 2LCM
572825358
582828178
5928216638
602822820
6128217202
622828742
632825922
642829024
6528218330
662823102
6728218894
682829588
692826486
702829870
7128220022
722823384
7328220586
7428210434
752827050
7628210716
7728221714
782823666
7928222278
8028211280
812827614
8228211562
8328223406
842823948
8528223970
8628212126

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 282? (The answer is: 3384). Select the first number (e.g. '72') and the second number (e.g. '282'). 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 72 and 282?

LCM of 72 and 282 is 3,384