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What is the Least Common Multiple of 93582 and 93597?

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 93582 and 93597 is 2919664818.

LCM(93582,93597) = 2919664818

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Least Common Multiple of 93582 and 93597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93582 and 93597, than apply into the LCM equation.

GCF(93582,93597) = 3
LCM(93582,93597) = ( 93582 × 93597) / 3
LCM(93582,93597) = 8758994454 / 3
LCM(93582,93597) = 2919664818

Least Common Multiple (LCM) of 93582 and 93597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93582 and 93597. First we will calculate the prime factors of 93582 and 93597.

Prime Factorization of 93582

Prime factors of 93582 are 2, 3, 1733. Prime factorization of 93582 in exponential form is:

93582 = 21 × 33 × 17331

Prime Factorization of 93597

Prime factors of 93597 are 3, 7, 4457. Prime factorization of 93597 in exponential form is:

93597 = 31 × 71 × 44571

Now multiplying the highest exponent prime factors to calculate the LCM of 93582 and 93597.

LCM(93582,93597) = 21 × 33 × 17331 × 71 × 44571
LCM(93582,93597) = 2919664818