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What is the Least Common Multiple of 64102 and 64108?

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 64102 and 64108 is 2054725508.

LCM(64102,64108) = 2054725508

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Least Common Multiple of 64102 and 64108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64102 and 64108, than apply into the LCM equation.

GCF(64102,64108) = 2
LCM(64102,64108) = ( 64102 × 64108) / 2
LCM(64102,64108) = 4109451016 / 2
LCM(64102,64108) = 2054725508

Least Common Multiple (LCM) of 64102 and 64108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64102 and 64108. First we will calculate the prime factors of 64102 and 64108.

Prime Factorization of 64102

Prime factors of 64102 are 2, 32051. Prime factorization of 64102 in exponential form is:

64102 = 21 × 320511

Prime Factorization of 64108

Prime factors of 64108 are 2, 11, 31, 47. Prime factorization of 64108 in exponential form is:

64108 = 22 × 111 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64102 and 64108.

LCM(64102,64108) = 22 × 320511 × 111 × 311 × 471
LCM(64102,64108) = 2054725508