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What is the Least Common Multiple of 9578 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 9578 and 9582 is 45888198.

LCM(9578,9582) = 45888198

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Least Common Multiple of 9578 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 9578 and 9582, than apply into the LCM equation.

GCF(9578,9582) = 2
LCM(9578,9582) = ( 9578 × 9582) / 2
LCM(9578,9582) = 91776396 / 2
LCM(9578,9582) = 45888198

Least Common Multiple (LCM) of 9578 and 9582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9578 and 9582. First we will calculate the prime factors of 9578 and 9582.

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 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 9578 and 9582.

LCM(9578,9582) = 21 × 47891 × 31 × 15971
LCM(9578,9582) = 45888198