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What is the Least Common Multiple of 93975 and 93990?

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 93975 and 93990 is 588847350.

LCM(93975,93990) = 588847350

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Least Common Multiple of 93975 and 93990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93975 and 93990, than apply into the LCM equation.

GCF(93975,93990) = 15
LCM(93975,93990) = ( 93975 × 93990) / 15
LCM(93975,93990) = 8832710250 / 15
LCM(93975,93990) = 588847350

Least Common Multiple (LCM) of 93975 and 93990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93975 and 93990. First we will calculate the prime factors of 93975 and 93990.

Prime Factorization of 93975

Prime factors of 93975 are 3, 5, 7, 179. Prime factorization of 93975 in exponential form is:

93975 = 31 × 52 × 71 × 1791

Prime Factorization of 93990

Prime factors of 93990 are 2, 3, 5, 13, 241. Prime factorization of 93990 in exponential form is:

93990 = 21 × 31 × 51 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 93975 and 93990.

LCM(93975,93990) = 31 × 52 × 71 × 1791 × 21 × 131 × 2411
LCM(93975,93990) = 588847350