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What is the Least Common Multiple of 64595 and 64614?

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 64595 and 64614 is 4173741330.

LCM(64595,64614) = 4173741330

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Least Common Multiple of 64595 and 64614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64595 and 64614, than apply into the LCM equation.

GCF(64595,64614) = 1
LCM(64595,64614) = ( 64595 × 64614) / 1
LCM(64595,64614) = 4173741330 / 1
LCM(64595,64614) = 4173741330

Least Common Multiple (LCM) of 64595 and 64614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64595 and 64614. First we will calculate the prime factors of 64595 and 64614.

Prime Factorization of 64595

Prime factors of 64595 are 5, 12919. Prime factorization of 64595 in exponential form is:

64595 = 51 × 129191

Prime Factorization of 64614

Prime factors of 64614 are 2, 3, 11, 89. Prime factorization of 64614 in exponential form is:

64614 = 21 × 31 × 112 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 64595 and 64614.

LCM(64595,64614) = 51 × 129191 × 21 × 31 × 112 × 891
LCM(64595,64614) = 4173741330