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What is the Least Common Multiple of 64484 and 64501?

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 64484 and 64501 is 4159282484.

LCM(64484,64501) = 4159282484

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Least Common Multiple of 64484 and 64501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64484 and 64501, than apply into the LCM equation.

GCF(64484,64501) = 1
LCM(64484,64501) = ( 64484 × 64501) / 1
LCM(64484,64501) = 4159282484 / 1
LCM(64484,64501) = 4159282484

Least Common Multiple (LCM) of 64484 and 64501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64484 and 64501. First we will calculate the prime factors of 64484 and 64501.

Prime Factorization of 64484

Prime factors of 64484 are 2, 7, 47. Prime factorization of 64484 in exponential form is:

64484 = 22 × 73 × 471

Prime Factorization of 64501

Prime factors of 64501 are 53, 1217. Prime factorization of 64501 in exponential form is:

64501 = 531 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 64484 and 64501.

LCM(64484,64501) = 22 × 73 × 471 × 531 × 12171
LCM(64484,64501) = 4159282484