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What is the Least Common Multiple of 93856 and 93875?

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 93856 and 93875 is 8810732000.

LCM(93856,93875) = 8810732000

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Least Common Multiple of 93856 and 93875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93856 and 93875, than apply into the LCM equation.

GCF(93856,93875) = 1
LCM(93856,93875) = ( 93856 × 93875) / 1
LCM(93856,93875) = 8810732000 / 1
LCM(93856,93875) = 8810732000

Least Common Multiple (LCM) of 93856 and 93875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93856 and 93875. First we will calculate the prime factors of 93856 and 93875.

Prime Factorization of 93856

Prime factors of 93856 are 2, 7, 419. Prime factorization of 93856 in exponential form is:

93856 = 25 × 71 × 4191

Prime Factorization of 93875

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

93875 = 53 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 93856 and 93875.

LCM(93856,93875) = 25 × 71 × 4191 × 53 × 7511
LCM(93856,93875) = 8810732000