What is the Least Common Multiple of 636 and 640?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 636 and 640 is 101760.
LCM(636,640) = 101760
Least Common Multiple of 636 and 640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 636 and 640, than apply into the LCM equation.
GCF(636,640) = 4
LCM(636,640) = ( 636 × 640) / 4
LCM(636,640) = 407040 / 4
LCM(636,640) = 101760
Least Common Multiple (LCM) of 636 and 640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 636 and 640. First we will calculate the prime factors of 636 and 640.
Prime Factorization of 636
Prime factors of 636 are 2, 3, 53. Prime factorization of 636 in exponential form is:
636 = 22 × 31 × 531
Prime Factorization of 640
Prime factors of 640 are 2, 5. Prime factorization of 640 in exponential form is:
640 = 27 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 636 and 640.
LCM(636,640) = 27 × 31 × 531 × 51
LCM(636,640) = 101760
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