What is the LCM of 28 and 52?

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What's the Least Common Multiple (LCM) of 28 and 52?

Answer: LCM of 28 and 52 is 364

(Three hundred sixty-four)

Finding LCM for 28 and 52 using GCF's of these numbers

The first method to find LCM for numbers 28 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 52 is 4, so

LCM = (28 × 52) ÷ 4

LCM = 1456 ÷ 4

LCM = 364

Finding LCM for 28 and 52 by Listing Multiples

The second method to find LCM for numbers 28 and 52 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420

Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468

So the LCM for 28 and 52 is 364

Finding LCM for 28 and 52 by Prime Factorization

Another method to find LCM for numbers 28 and 52 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 52: 2, 2, 13 (exponent form: 2², 13¹)

2² × 7¹ × 13¹ = 364

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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 52? (The answer is: 364). Select the first number (e.g. '28') and the second number (e.g. '52'). 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

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LCM Table

Number 1	Number 2	LCM
13	52	52
14	52	364
15	52	780
16	52	208
17	52	884
18	52	468
19	52	988
20	52	260
21	52	1092
22	52	572
23	52	1196
24	52	312
25	52	1300
26	52	52
27	52	1404
28	52	364
29	52	1508
30	52	780
31	52	1612
32	52	416
33	52	1716
34	52	884
35	52	1820
36	52	468
37	52	1924
38	52	988
39	52	156
40	52	520
41	52	2132
42	52	1092

LCM for 28 and 52

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 28 and 52?

Finding LCM for 28 and 52 using GCF's of these numbers

Finding LCM for 28 and 52 by Listing Multiples

Finding LCM for 28 and 52 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 28 and 52?

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