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What is the Least Common Multiple of 93375 and 93390?

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 93375 and 93390 is 581352750.

LCM(93375,93390) = 581352750

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Least Common Multiple of 93375 and 93390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93375 and 93390, than apply into the LCM equation.

GCF(93375,93390) = 15
LCM(93375,93390) = ( 93375 × 93390) / 15
LCM(93375,93390) = 8720291250 / 15
LCM(93375,93390) = 581352750

Least Common Multiple (LCM) of 93375 and 93390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93375 and 93390. First we will calculate the prime factors of 93375 and 93390.

Prime Factorization of 93375

Prime factors of 93375 are 3, 5, 83. Prime factorization of 93375 in exponential form is:

93375 = 32 × 53 × 831

Prime Factorization of 93390

Prime factors of 93390 are 2, 3, 5, 11, 283. Prime factorization of 93390 in exponential form is:

93390 = 21 × 31 × 51 × 111 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 93375 and 93390.

LCM(93375,93390) = 32 × 53 × 831 × 21 × 111 × 2831
LCM(93375,93390) = 581352750