LCM for 28 and 72

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 28 and 72?

Answer

LCM of 28 and 72 is 504

(Five hundred four)

Finding LCM for 28 and 72 using GCF of these numbers

The first method to find LCM for numbers 28 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 72 is 4, so

LCM = (28 × 72) ÷ 4

LCM = 2016 ÷ 4

LCM = 504

Finding LCM for 28 and 72 by Listing Multiples

The second method to find LCM for numbers 28 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648

So the LCM for 28 and 72 is 504

Finding LCM for 28 and 72 by Prime Factorization

Another method to find LCM for numbers 28 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

23 × 71 × 32 = 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 28 and 72? (The answer is: 504). Select the first number (e.g. '28') and the second number (e.g. '72'). 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
2829812
2830420
2831868
2832224
2834476
2835140
2836252
2838532
28391092
2840280
28411148
284284
28431204
28451260
2848336
2849196
2850700
28511428
2852364
2854756
285656
28571596
2858812
28591652
2860420
2872504

FAQ

What's the Least Common Multiple (LCM) of 28 and 72?

LCM of 28 and 72 is 504

How to find the LCM of 28 and 72 using prime factorization?

To find the LCM of 28 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 28 and 72: LCM = 504, GCF = 4.

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