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What is the Least Common Multiple of 9578 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 9578 and 9594 is 45945666.

LCM(9578,9594) = 45945666

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Least Common Multiple of 9578 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 9578 and 9594, than apply into the LCM equation.

GCF(9578,9594) = 2
LCM(9578,9594) = ( 9578 × 9594) / 2
LCM(9578,9594) = 91891332 / 2
LCM(9578,9594) = 45945666

Least Common Multiple (LCM) of 9578 and 9594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9578 and 9594. First we will calculate the prime factors of 9578 and 9594.

Prime Factorization of 9578

Prime factors of 9578 are 2, 4789. Prime factorization of 9578 in exponential form is:

9578 = 21 × 47891

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 9578 and 9594.

LCM(9578,9594) = 21 × 47891 × 32 × 131 × 411
LCM(9578,9594) = 45945666