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What is the Least Common Multiple of 93555 and 93571?

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 93555 and 93571 is 8754034905.

LCM(93555,93571) = 8754034905

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Least Common Multiple of 93555 and 93571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93555 and 93571, than apply into the LCM equation.

GCF(93555,93571) = 1
LCM(93555,93571) = ( 93555 × 93571) / 1
LCM(93555,93571) = 8754034905 / 1
LCM(93555,93571) = 8754034905

Least Common Multiple (LCM) of 93555 and 93571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93555 and 93571. First we will calculate the prime factors of 93555 and 93571.

Prime Factorization of 93555

Prime factors of 93555 are 3, 5, 7, 11. Prime factorization of 93555 in exponential form is:

93555 = 35 × 51 × 71 × 111

Prime Factorization of 93571

Prime factors of 93571 are 137, 683. Prime factorization of 93571 in exponential form is:

93571 = 1371 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 93555 and 93571.

LCM(93555,93571) = 35 × 51 × 71 × 111 × 1371 × 6831
LCM(93555,93571) = 8754034905