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What is the Least Common Multiple of 64075 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 64075 and 64079 is 4105861925.

LCM(64075,64079) = 4105861925

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Least Common Multiple of 64075 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 64075 and 64079, than apply into the LCM equation.

GCF(64075,64079) = 1
LCM(64075,64079) = ( 64075 × 64079) / 1
LCM(64075,64079) = 4105861925 / 1
LCM(64075,64079) = 4105861925

Least Common Multiple (LCM) of 64075 and 64079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64075 and 64079. First we will calculate the prime factors of 64075 and 64079.

Prime Factorization of 64075

Prime factors of 64075 are 5, 11, 233. Prime factorization of 64075 in exponential form is:

64075 = 52 × 111 × 2331

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 64075 and 64079.

LCM(64075,64079) = 52 × 111 × 2331 × 1391 × 4611
LCM(64075,64079) = 4105861925