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What is the Least Common Multiple of 64124 and 64137?

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 64124 and 64137 is 4112720988.

LCM(64124,64137) = 4112720988

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Least Common Multiple of 64124 and 64137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64124 and 64137, than apply into the LCM equation.

GCF(64124,64137) = 1
LCM(64124,64137) = ( 64124 × 64137) / 1
LCM(64124,64137) = 4112720988 / 1
LCM(64124,64137) = 4112720988

Least Common Multiple (LCM) of 64124 and 64137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64124 and 64137. First we will calculate the prime factors of 64124 and 64137.

Prime Factorization of 64124

Prime factors of 64124 are 2, 17, 23, 41. Prime factorization of 64124 in exponential form is:

64124 = 22 × 171 × 231 × 411

Prime Factorization of 64137

Prime factors of 64137 are 3, 21379. Prime factorization of 64137 in exponential form is:

64137 = 31 × 213791

Now multiplying the highest exponent prime factors to calculate the LCM of 64124 and 64137.

LCM(64124,64137) = 22 × 171 × 231 × 411 × 31 × 213791
LCM(64124,64137) = 4112720988