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What is the Least Common Multiple of 9579 and 9594?

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 9579 and 9594 is 30633642.

LCM(9579,9594) = 30633642

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Least Common Multiple of 9579 and 9594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9579 and 9594, than apply into the LCM equation.

GCF(9579,9594) = 3
LCM(9579,9594) = ( 9579 × 9594) / 3
LCM(9579,9594) = 91900926 / 3
LCM(9579,9594) = 30633642

Least Common Multiple (LCM) of 9579 and 9594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9579 and 9594. First we will calculate the prime factors of 9579 and 9594.

Prime Factorization of 9579

Prime factors of 9579 are 3, 31, 103. Prime factorization of 9579 in exponential form is:

9579 = 31 × 311 × 1031

Prime Factorization of 9594

Prime factors of 9594 are 2, 3, 13, 41. Prime factorization of 9594 in exponential form is:

9594 = 21 × 32 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 9579 and 9594.

LCM(9579,9594) = 32 × 311 × 1031 × 21 × 131 × 411
LCM(9579,9594) = 30633642