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What is the Least Common Multiple of 93589 and 93600?

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 93589 and 93600 is 8759930400.

LCM(93589,93600) = 8759930400

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Least Common Multiple of 93589 and 93600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93589 and 93600, than apply into the LCM equation.

GCF(93589,93600) = 1
LCM(93589,93600) = ( 93589 × 93600) / 1
LCM(93589,93600) = 8759930400 / 1
LCM(93589,93600) = 8759930400

Least Common Multiple (LCM) of 93589 and 93600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93589 and 93600. First we will calculate the prime factors of 93589 and 93600.

Prime Factorization of 93589

Prime factors of 93589 are 31, 3019. Prime factorization of 93589 in exponential form is:

93589 = 311 × 30191

Prime Factorization of 93600

Prime factors of 93600 are 2, 3, 5, 13. Prime factorization of 93600 in exponential form is:

93600 = 25 × 32 × 52 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 93589 and 93600.

LCM(93589,93600) = 311 × 30191 × 25 × 32 × 52 × 131
LCM(93589,93600) = 8759930400