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What is the Least Common Multiple of 93718 and 93725?

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 93725 is 8783719550.

LCM(93718,93725) = 8783719550

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Least Common Multiple of 93718 and 93725 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 93725, than apply into the LCM equation.

GCF(93718,93725) = 1
LCM(93718,93725) = ( 93718 × 93725) / 1
LCM(93718,93725) = 8783719550 / 1
LCM(93718,93725) = 8783719550

Least Common Multiple (LCM) of 93718 and 93725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93718 and 93725. First we will calculate the prime factors of 93718 and 93725.

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 93725

Prime factors of 93725 are 5, 23, 163. Prime factorization of 93725 in exponential form is:

93725 = 52 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 93718 and 93725.

LCM(93718,93725) = 21 × 471 × 9971 × 52 × 231 × 1631
LCM(93718,93725) = 8783719550