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What is the Least Common Multiple of 93875 and 93886?

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 93875 and 93886 is 8813548250.

LCM(93875,93886) = 8813548250

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Least Common Multiple of 93875 and 93886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93875 and 93886, than apply into the LCM equation.

GCF(93875,93886) = 1
LCM(93875,93886) = ( 93875 × 93886) / 1
LCM(93875,93886) = 8813548250 / 1
LCM(93875,93886) = 8813548250

Least Common Multiple (LCM) of 93875 and 93886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93875 and 93886. First we will calculate the prime factors of 93875 and 93886.

Prime Factorization of 93875

Prime factors of 93875 are 5, 751. Prime factorization of 93875 in exponential form is:

93875 = 53 × 7511

Prime Factorization of 93886

Prime factors of 93886 are 2, 13, 23, 157. Prime factorization of 93886 in exponential form is:

93886 = 21 × 131 × 231 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 93875 and 93886.

LCM(93875,93886) = 53 × 7511 × 21 × 131 × 231 × 1571
LCM(93875,93886) = 8813548250