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What is the Least Common Multiple of 93875 and 93881?

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 93881 is 8813078875.

LCM(93875,93881) = 8813078875

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Least Common Multiple of 93875 and 93881 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 93881, than apply into the LCM equation.

GCF(93875,93881) = 1
LCM(93875,93881) = ( 93875 × 93881) / 1
LCM(93875,93881) = 8813078875 / 1
LCM(93875,93881) = 8813078875

Least Common Multiple (LCM) of 93875 and 93881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93875 and 93881. First we will calculate the prime factors of 93875 and 93881.

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 93881

Prime factors of 93881 are 269, 349. Prime factorization of 93881 in exponential form is:

93881 = 2691 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 93875 and 93881.

LCM(93875,93881) = 53 × 7511 × 2691 × 3491
LCM(93875,93881) = 8813078875