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What is the Least Common Multiple of 9573 and 9582?

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 9573 and 9582 is 30576162.

LCM(9573,9582) = 30576162

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Least Common Multiple of 9573 and 9582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9573 and 9582, than apply into the LCM equation.

GCF(9573,9582) = 3
LCM(9573,9582) = ( 9573 × 9582) / 3
LCM(9573,9582) = 91728486 / 3
LCM(9573,9582) = 30576162

Least Common Multiple (LCM) of 9573 and 9582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9573 and 9582. First we will calculate the prime factors of 9573 and 9582.

Prime Factorization of 9573

Prime factors of 9573 are 3, 3191. Prime factorization of 9573 in exponential form is:

9573 = 31 × 31911

Prime Factorization of 9582

Prime factors of 9582 are 2, 3, 1597. Prime factorization of 9582 in exponential form is:

9582 = 21 × 31 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 9573 and 9582.

LCM(9573,9582) = 31 × 31911 × 21 × 15971
LCM(9573,9582) = 30576162