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What is the Least Common Multiple of 64059 and 64079?

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 64059 and 64079 is 4104836661.

LCM(64059,64079) = 4104836661

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Least Common Multiple of 64059 and 64079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64059 and 64079, than apply into the LCM equation.

GCF(64059,64079) = 1
LCM(64059,64079) = ( 64059 × 64079) / 1
LCM(64059,64079) = 4104836661 / 1
LCM(64059,64079) = 4104836661

Least Common Multiple (LCM) of 64059 and 64079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64059 and 64079. First we will calculate the prime factors of 64059 and 64079.

Prime Factorization of 64059

Prime factors of 64059 are 3, 131, 163. Prime factorization of 64059 in exponential form is:

64059 = 31 × 1311 × 1631

Prime Factorization of 64079

Prime factors of 64079 are 139, 461. Prime factorization of 64079 in exponential form is:

64079 = 1391 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 64059 and 64079.

LCM(64059,64079) = 31 × 1311 × 1631 × 1391 × 4611
LCM(64059,64079) = 4104836661