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What is the Least Common Multiple of 93645 and 93657?

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 93645 and 93657 is 2923503255.

LCM(93645,93657) = 2923503255

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Least Common Multiple of 93645 and 93657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93645 and 93657, than apply into the LCM equation.

GCF(93645,93657) = 3
LCM(93645,93657) = ( 93645 × 93657) / 3
LCM(93645,93657) = 8770509765 / 3
LCM(93645,93657) = 2923503255

Least Common Multiple (LCM) of 93645 and 93657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93645 and 93657. First we will calculate the prime factors of 93645 and 93657.

Prime Factorization of 93645

Prime factors of 93645 are 3, 5, 2081. Prime factorization of 93645 in exponential form is:

93645 = 32 × 51 × 20811

Prime Factorization of 93657

Prime factors of 93657 are 3, 31219. Prime factorization of 93657 in exponential form is:

93657 = 31 × 312191

Now multiplying the highest exponent prime factors to calculate the LCM of 93645 and 93657.

LCM(93645,93657) = 32 × 51 × 20811 × 312191
LCM(93645,93657) = 2923503255