LCM for 8 and 63

What's the Least Common Multiple (LCM) of 8 and 63?

Answer: LCM of 8 and 63 is 504

(Five hundred four)

Finding LCM for 8 and 63 using GCF's of these numbers

The first method to find LCM for numbers 8 and 63 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 63 is 1, so

LCM = (8 × 63) ÷ 1

LCM = 504 ÷ 1

LCM = 504

Finding LCM for 8 and 63 by Listing Multiples

The second method to find LCM for numbers 8 and 63 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424, 432, 440, 448, 456, 464, 472, 480, 488, 496, 504, 512, 520

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

So the LCM for 8 and 63 is 504

Finding LCM for 8 and 63 by Prime Factorization

Another method to find LCM for numbers 8 and 63 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

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

23 × 32 × 71 = 504

Related Calculations

LCM Table

Number 1Number 2LCM
16363
263126
36363
463252
563315
663126
76363
863504
96363
1063630
1163693
1263252
1363819
1463
1563315
16631008
17631071
1863126
19631197
20631260
216363
22631386
23631449
2463504
25631575
26631638
2763
2863
29631827
3063630

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 8 and 63? (The answer is: 504). Select the first number (e.g. '8') 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

FAQ

What's the Least Common Multiple (LCM) of 8 and 63?

LCM of 8 and 63 is 504