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What is the Least Common Multiple of 93718 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 93718 and 93738 is 4392468942.

LCM(93718,93738) = 4392468942

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Least Common Multiple of 93718 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 93718 and 93738, than apply into the LCM equation.

GCF(93718,93738) = 2
LCM(93718,93738) = ( 93718 × 93738) / 2
LCM(93718,93738) = 8784937884 / 2
LCM(93718,93738) = 4392468942

Least Common Multiple (LCM) of 93718 and 93738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93718 and 93738. First we will calculate the prime factors of 93718 and 93738.

Prime Factorization of 93718

Prime factors of 93718 are 2, 47, 997. Prime factorization of 93718 in exponential form is:

93718 = 21 × 471 × 9971

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 93718 and 93738.

LCM(93718,93738) = 21 × 471 × 9971 × 31 × 171 × 9191
LCM(93718,93738) = 4392468942