LCM for 8 and 63
What's the Least Common Multiple (LCM) of 8 and 63?
(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
About "Least Common Multiple" Calculator
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