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What is the Least Common Multiple of 64139 and 64147?

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 64139 and 64147 is 4114324433.

LCM(64139,64147) = 4114324433

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Least Common Multiple of 64139 and 64147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64139 and 64147, than apply into the LCM equation.

GCF(64139,64147) = 1
LCM(64139,64147) = ( 64139 × 64147) / 1
LCM(64139,64147) = 4114324433 / 1
LCM(64139,64147) = 4114324433

Least Common Multiple (LCM) of 64139 and 64147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64139 and 64147. First we will calculate the prime factors of 64139 and 64147.

Prime Factorization of 64139

Prime factors of 64139 are 31, 2069. Prime factorization of 64139 in exponential form is:

64139 = 311 × 20691

Prime Factorization of 64147

Prime factors of 64147 are 23, 2789. Prime factorization of 64147 in exponential form is:

64147 = 231 × 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 64139 and 64147.

LCM(64139,64147) = 311 × 20691 × 231 × 27891
LCM(64139,64147) = 4114324433