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What is the Least Common Multiple of 64139 and 64156?

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 64156 is 4114901684.

LCM(64139,64156) = 4114901684

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Least Common Multiple of 64139 and 64156 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 64156, than apply into the LCM equation.

GCF(64139,64156) = 1
LCM(64139,64156) = ( 64139 × 64156) / 1
LCM(64139,64156) = 4114901684 / 1
LCM(64139,64156) = 4114901684

Least Common Multiple (LCM) of 64139 and 64156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64139 and 64156. First we will calculate the prime factors of 64139 and 64156.

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 64156

Prime factors of 64156 are 2, 43, 373. Prime factorization of 64156 in exponential form is:

64156 = 22 × 431 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 64139 and 64156.

LCM(64139,64156) = 311 × 20691 × 22 × 431 × 3731
LCM(64139,64156) = 4114901684