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What is the Least Common Multiple of 64129 and 64146?

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 64129 and 64146 is 4113618834.

LCM(64129,64146) = 4113618834

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Least Common Multiple of 64129 and 64146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64129 and 64146, than apply into the LCM equation.

GCF(64129,64146) = 1
LCM(64129,64146) = ( 64129 × 64146) / 1
LCM(64129,64146) = 4113618834 / 1
LCM(64129,64146) = 4113618834

Least Common Multiple (LCM) of 64129 and 64146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64129 and 64146. First we will calculate the prime factors of 64129 and 64146.

Prime Factorization of 64129

Prime factors of 64129 are 13, 4933. Prime factorization of 64129 in exponential form is:

64129 = 131 × 49331

Prime Factorization of 64146

Prime factors of 64146 are 2, 3, 10691. Prime factorization of 64146 in exponential form is:

64146 = 21 × 31 × 106911

Now multiplying the highest exponent prime factors to calculate the LCM of 64129 and 64146.

LCM(64129,64146) = 131 × 49331 × 21 × 31 × 106911
LCM(64129,64146) = 4113618834