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What is the Least Common Multiple of 64508 and 64517?

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 64508 and 64517 is 4161862636.

LCM(64508,64517) = 4161862636

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Least Common Multiple of 64508 and 64517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64508 and 64517, than apply into the LCM equation.

GCF(64508,64517) = 1
LCM(64508,64517) = ( 64508 × 64517) / 1
LCM(64508,64517) = 4161862636 / 1
LCM(64508,64517) = 4161862636

Least Common Multiple (LCM) of 64508 and 64517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64508 and 64517. First we will calculate the prime factors of 64508 and 64517.

Prime Factorization of 64508

Prime factors of 64508 are 2, 16127. Prime factorization of 64508 in exponential form is:

64508 = 22 × 161271

Prime Factorization of 64517

Prime factors of 64517 are 149, 433. Prime factorization of 64517 in exponential form is:

64517 = 1491 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 64508 and 64517.

LCM(64508,64517) = 22 × 161271 × 1491 × 4331
LCM(64508,64517) = 4161862636