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What is the Least Common Multiple of 64358 and 64373?

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 64358 and 64373 is 4142917534.

LCM(64358,64373) = 4142917534

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Least Common Multiple of 64358 and 64373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64358 and 64373, than apply into the LCM equation.

GCF(64358,64373) = 1
LCM(64358,64373) = ( 64358 × 64373) / 1
LCM(64358,64373) = 4142917534 / 1
LCM(64358,64373) = 4142917534

Least Common Multiple (LCM) of 64358 and 64373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64358 and 64373. First we will calculate the prime factors of 64358 and 64373.

Prime Factorization of 64358

Prime factors of 64358 are 2, 7, 4597. Prime factorization of 64358 in exponential form is:

64358 = 21 × 71 × 45971

Prime Factorization of 64373

Prime factors of 64373 are 64373. Prime factorization of 64373 in exponential form is:

64373 = 643731

Now multiplying the highest exponent prime factors to calculate the LCM of 64358 and 64373.

LCM(64358,64373) = 21 × 71 × 45971 × 643731
LCM(64358,64373) = 4142917534