What is the LCM of 36 and 56?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 36 and 56?

Answer: LCM of 36 and 56 is 504

(Five hundred four)

Finding LCM for 36 and 56 using GCF's of these numbers

The first method to find LCM for numbers 36 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 56 is 4, so

LCM = (36 × 56) ÷ 4

LCM = 2016 ÷ 4

LCM = 504

Finding LCM for 36 and 56 by Listing Multiples

The second method to find LCM for numbers 36 and 56 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576

Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616

So the LCM for 36 and 56 is 504

Finding LCM for 36 and 56 by Prime Factorization

Another method to find LCM for numbers 36 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 2², 3²)

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 2³, 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 36 and 56? (The answer is: 504). Select the first number (e.g. '36') and the second number (e.g. '56'). 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
21	56	168
22	56	616
23	56	1288
24	56	168
25	56	1400
26	56	728
27	56	1512
28	56	56
29	56	1624
30	56	840
31	56	1736
32	56	224
33	56	1848
34	56	952
35	56	280
36	56	504
37	56	2072
38	56	1064
39	56	2184
40	56	280
41	56	2296
42	56	168
43	56	2408
44	56	616
45	56	2520
46	56	1288
47	56	2632
48	56	336
49	56	392
50	56	1400

LCM for 36 and 56

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 36 and 56?

Finding LCM for 36 and 56 using GCF's of these numbers

Finding LCM for 36 and 56 by Listing Multiples

Finding LCM for 36 and 56 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 36 and 56?

See Also