What is the LCM of 28 and 36?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 28 and 36?

Answer: LCM of 28 and 36 is 252

(Two hundred fifty-two)

Finding LCM for 28 and 36 using GCF's of these numbers

The first method to find LCM for numbers 28 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 36 is 4, so

LCM = (28 × 36) ÷ 4

LCM = 1008 ÷ 4

LCM = 252

Finding LCM for 28 and 36 by Listing Multiples

The second method to find LCM for numbers 28 and 36 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

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324

So the LCM for 28 and 36 is 252

Finding LCM for 28 and 36 by Prime Factorization

Another method to find LCM for numbers 28 and 36 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 36: 2, 2, 3, 3 (exponent form: 2², 3²)

2² × 7¹ × 3² = 252

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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 36? (The answer is: 252). Select the first number (e.g. '28') and the second number (e.g. '36'). 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	36	468
14	36	252
15	36	180
16	36	144
17	36	612
18	36	36
19	36	684
20	36	180
21	36	252
22	36	396
23	36	828
24	36	72
25	36	900
26	36	468
27	36	108
28	36	252
29	36	1044
30	36	180
31	36	1116
32	36	288
33	36	396
34	36	612
35	36	1260
36	36	36
37	36	1332
38	36	684
39	36	468
40	36	360
41	36	1476
42	36	252

LCM for 28 and 36

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 28 and 36?

Finding LCM for 28 and 36 using GCF's of these numbers

Finding LCM for 28 and 36 by Listing Multiples

Finding LCM for 28 and 36 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 36?

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