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What is the Least Common Multiple of 64063 and 64080?

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 64063 and 64080 is 4105157040.

LCM(64063,64080) = 4105157040

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Least Common Multiple of 64063 and 64080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64063 and 64080, than apply into the LCM equation.

GCF(64063,64080) = 1
LCM(64063,64080) = ( 64063 × 64080) / 1
LCM(64063,64080) = 4105157040 / 1
LCM(64063,64080) = 4105157040

Least Common Multiple (LCM) of 64063 and 64080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64063 and 64080. First we will calculate the prime factors of 64063 and 64080.

Prime Factorization of 64063

Prime factors of 64063 are 64063. Prime factorization of 64063 in exponential form is:

64063 = 640631

Prime Factorization of 64080

Prime factors of 64080 are 2, 3, 5, 89. Prime factorization of 64080 in exponential form is:

64080 = 24 × 32 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 64063 and 64080.

LCM(64063,64080) = 640631 × 24 × 32 × 51 × 891
LCM(64063,64080) = 4105157040