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What is the Least Common Multiple of 93584 and 93601?

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 93584 and 93601 is 8759555984.

LCM(93584,93601) = 8759555984

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Least Common Multiple of 93584 and 93601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93584 and 93601, than apply into the LCM equation.

GCF(93584,93601) = 1
LCM(93584,93601) = ( 93584 × 93601) / 1
LCM(93584,93601) = 8759555984 / 1
LCM(93584,93601) = 8759555984

Least Common Multiple (LCM) of 93584 and 93601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93584 and 93601. First we will calculate the prime factors of 93584 and 93601.

Prime Factorization of 93584

Prime factors of 93584 are 2, 5849. Prime factorization of 93584 in exponential form is:

93584 = 24 × 58491

Prime Factorization of 93601

Prime factors of 93601 are 93601. Prime factorization of 93601 in exponential form is:

93601 = 936011

Now multiplying the highest exponent prime factors to calculate the LCM of 93584 and 93601.

LCM(93584,93601) = 24 × 58491 × 936011
LCM(93584,93601) = 8759555984