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What is the Least Common Multiple of 93729 and 93738?

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 93729 and 93738 is 2928656334.

LCM(93729,93738) = 2928656334

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Least Common Multiple of 93729 and 93738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93729 and 93738, than apply into the LCM equation.

GCF(93729,93738) = 3
LCM(93729,93738) = ( 93729 × 93738) / 3
LCM(93729,93738) = 8785969002 / 3
LCM(93729,93738) = 2928656334

Least Common Multiple (LCM) of 93729 and 93738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93729 and 93738. First we will calculate the prime factors of 93729 and 93738.

Prime Factorization of 93729

Prime factors of 93729 are 3, 157, 199. Prime factorization of 93729 in exponential form is:

93729 = 31 × 1571 × 1991

Prime Factorization of 93738

Prime factors of 93738 are 2, 3, 17, 919. Prime factorization of 93738 in exponential form is:

93738 = 21 × 31 × 171 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 93729 and 93738.

LCM(93729,93738) = 31 × 1571 × 1991 × 21 × 171 × 9191
LCM(93729,93738) = 2928656334