LCM for 54 and 63
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 54 and 63?
(Three hundred seventy-eight)
Finding LCM for 54 and 63 using GCF's of these numbers
The first method to find LCM for numbers 54 and 63 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 54 and 63 is 9, so
LCM = (54 × 63) ÷ 9
LCM = 3402 ÷ 9
LCM = 378
Finding LCM for 54 and 63 by Listing Multiples
The second method to find LCM for numbers 54 and 63 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486
Multiples of 63: 63, 126, 189, 252, 315, 378, 441, 504
So the LCM for 54 and 63 is 378
Finding LCM for 54 and 63 by Prime Factorization
Another method to find LCM for numbers 54 and 63 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)
All Prime Factors of 63: 3, 3, 7 (exponent form: 32, 71)
21 × 33 × 71 = 378
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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
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What's the Least Common Multiple (LCM) of 54 and 63?
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- Наименьшее общее кратное 54 и 63