LCM for 56 and 63

What's the Least Common Multiple (LCM) of 56 and 63?

Answer: LCM of 56 and 63 is 504

(Five hundred four)

Finding LCM for 56 and 63 using GCF's of these numbers

The first method to find LCM for numbers 56 and 63 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 56 and 63 is 7, so

LCM = (56 × 63) ÷ 7

LCM = 3528 ÷ 7

LCM = 504

Finding LCM for 56 and 63 by Listing Multiples

The second method to find LCM for numbers 56 and 63 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 63: 63, 126, 189, 252, 315, 378, 441, 504, 567, 630

So the LCM for 56 and 63 is 504

Finding LCM for 56 and 63 by Prime Factorization

Another method to find LCM for numbers 56 and 63 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

All Prime Factors of 63: 3, 3, 7 (exponent form: 32, 71)

23 × 71 × 32 = 504

See Also

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 56 and 63? (The answer is: 504). Select the first number (e.g. '56') and the second number (e.g. '63'). 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

LCM Table

Number 1Number 2LCM
41632583
4263
43632709
44632772
4563
46632898
47632961
48631008
4963
50633150
51631071
52633276
53633339
5463378
55633465
5663
57631197
58633654
59633717
6063
61633843
62633906
636363
64634032
65634095
66631386
67634221
68634284
69631449
7063630

FAQ

What's the Least Common Multiple (LCM) of 56 and 63?

LCM of 56 and 63 is 504