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What is the Least Common Multiple of 93895 and 93907?

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 93895 and 93907 is 8817397765.

LCM(93895,93907) = 8817397765

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Least Common Multiple of 93895 and 93907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93895 and 93907, than apply into the LCM equation.

GCF(93895,93907) = 1
LCM(93895,93907) = ( 93895 × 93907) / 1
LCM(93895,93907) = 8817397765 / 1
LCM(93895,93907) = 8817397765

Least Common Multiple (LCM) of 93895 and 93907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93895 and 93907. First we will calculate the prime factors of 93895 and 93907.

Prime Factorization of 93895

Prime factors of 93895 are 5, 89, 211. Prime factorization of 93895 in exponential form is:

93895 = 51 × 891 × 2111

Prime Factorization of 93907

Prime factors of 93907 are 11, 8537. Prime factorization of 93907 in exponential form is:

93907 = 111 × 85371

Now multiplying the highest exponent prime factors to calculate the LCM of 93895 and 93907.

LCM(93895,93907) = 51 × 891 × 2111 × 111 × 85371
LCM(93895,93907) = 8817397765