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What is the Least Common Multiple of 93584 and 93596?

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 93596 is 2189772016.

LCM(93584,93596) = 2189772016

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Least Common Multiple of 93584 and 93596 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 93596, than apply into the LCM equation.

GCF(93584,93596) = 4
LCM(93584,93596) = ( 93584 × 93596) / 4
LCM(93584,93596) = 8759088064 / 4
LCM(93584,93596) = 2189772016

Least Common Multiple (LCM) of 93584 and 93596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93584 and 93596. First we will calculate the prime factors of 93584 and 93596.

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 93596

Prime factors of 93596 are 2, 23399. Prime factorization of 93596 in exponential form is:

93596 = 22 × 233991

Now multiplying the highest exponent prime factors to calculate the LCM of 93584 and 93596.

LCM(93584,93596) = 24 × 58491 × 233991
LCM(93584,93596) = 2189772016