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What is the Least Common Multiple of 93567 and 93582?

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 93567 and 93582 is 2918728998.

LCM(93567,93582) = 2918728998

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Least Common Multiple of 93567 and 93582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93567 and 93582, than apply into the LCM equation.

GCF(93567,93582) = 3
LCM(93567,93582) = ( 93567 × 93582) / 3
LCM(93567,93582) = 8756186994 / 3
LCM(93567,93582) = 2918728998

Least Common Multiple (LCM) of 93567 and 93582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93567 and 93582. First we will calculate the prime factors of 93567 and 93582.

Prime Factorization of 93567

Prime factors of 93567 are 3, 31189. Prime factorization of 93567 in exponential form is:

93567 = 31 × 311891

Prime Factorization of 93582

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

93582 = 21 × 33 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 93567 and 93582.

LCM(93567,93582) = 33 × 311891 × 21 × 17331
LCM(93567,93582) = 2918728998