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What is the Least Common Multiple of 64139 and 64155?

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 64155 is 4114837545.

LCM(64139,64155) = 4114837545

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Least Common Multiple of 64139 and 64155 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 64155, than apply into the LCM equation.

GCF(64139,64155) = 1
LCM(64139,64155) = ( 64139 × 64155) / 1
LCM(64139,64155) = 4114837545 / 1
LCM(64139,64155) = 4114837545

Least Common Multiple (LCM) of 64139 and 64155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64139 and 64155. First we will calculate the prime factors of 64139 and 64155.

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 64155

Prime factors of 64155 are 3, 5, 7, 13, 47. Prime factorization of 64155 in exponential form is:

64155 = 31 × 51 × 71 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64139 and 64155.

LCM(64139,64155) = 311 × 20691 × 31 × 51 × 71 × 131 × 471
LCM(64139,64155) = 4114837545