LCM for 72 and 84

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 84?

Answer: LCM of 72 and 84 is 504

(Five hundred four)

Finding LCM for 72 and 84 using GCF's of these numbers

The first method to find LCM for numbers 72 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 84 is 12, so

LCM = (72 × 84) ÷ 12

LCM = 6048 ÷ 12

LCM = 504

Finding LCM for 72 and 84 by Listing Multiples

The second method to find LCM for numbers 72 and 84 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

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672

So the LCM for 72 and 84 is 504

Finding LCM for 72 and 84 by Prime Factorization

Another method to find LCM for numbers 72 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

23 × 32 × 71 = 504

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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 84? (The answer is: 504). Select the first number (e.g. '72') and the second number (e.g. '84'). 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
57841596
58842436
59844956
6084420
61845124
62842604
6384252
64841344
65845460
6684924
67845628
68841428
69841932
7084420
71845964
7284504
73846132
74843108
75842100
76841596
7784924
78841092
79846636
80841680
81842268
82843444
83846972
848484
85847140
86843612

FAQ

What's the Least Common Multiple (LCM) of 72 and 84?

LCM of 72 and 84 is 504

See Also