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What is the Least Common Multiple of 64376 and 64388?

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 64376 and 64388 is 1036260472.

LCM(64376,64388) = 1036260472

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Least Common Multiple of 64376 and 64388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64376 and 64388, than apply into the LCM equation.

GCF(64376,64388) = 4
LCM(64376,64388) = ( 64376 × 64388) / 4
LCM(64376,64388) = 4145041888 / 4
LCM(64376,64388) = 1036260472

Least Common Multiple (LCM) of 64376 and 64388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64376 and 64388. First we will calculate the prime factors of 64376 and 64388.

Prime Factorization of 64376

Prime factors of 64376 are 2, 13, 619. Prime factorization of 64376 in exponential form is:

64376 = 23 × 131 × 6191

Prime Factorization of 64388

Prime factors of 64388 are 2, 16097. Prime factorization of 64388 in exponential form is:

64388 = 22 × 160971

Now multiplying the highest exponent prime factors to calculate the LCM of 64376 and 64388.

LCM(64376,64388) = 23 × 131 × 6191 × 160971
LCM(64376,64388) = 1036260472