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What is the Least Common Multiple of 93087 and 93099?

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 93087 and 93099 is 2888768871.

LCM(93087,93099) = 2888768871

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Least Common Multiple of 93087 and 93099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93087 and 93099, than apply into the LCM equation.

GCF(93087,93099) = 3
LCM(93087,93099) = ( 93087 × 93099) / 3
LCM(93087,93099) = 8666306613 / 3
LCM(93087,93099) = 2888768871

Least Common Multiple (LCM) of 93087 and 93099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93087 and 93099. First we will calculate the prime factors of 93087 and 93099.

Prime Factorization of 93087

Prime factors of 93087 are 3, 10343. Prime factorization of 93087 in exponential form is:

93087 = 32 × 103431

Prime Factorization of 93099

Prime factors of 93099 are 3, 31033. Prime factorization of 93099 in exponential form is:

93099 = 31 × 310331

Now multiplying the highest exponent prime factors to calculate the LCM of 93087 and 93099.

LCM(93087,93099) = 32 × 103431 × 310331
LCM(93087,93099) = 2888768871