GCF and LCM Calculator Logo

What is the Least Common Multiple of 9582 and 9597?

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 9582 and 9597 is 30652818.

LCM(9582,9597) = 30652818

LCM Calculator and
and

Least Common Multiple of 9582 and 9597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9582 and 9597, than apply into the LCM equation.

GCF(9582,9597) = 3
LCM(9582,9597) = ( 9582 × 9597) / 3
LCM(9582,9597) = 91958454 / 3
LCM(9582,9597) = 30652818

Least Common Multiple (LCM) of 9582 and 9597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9582 and 9597. First we will calculate the prime factors of 9582 and 9597.

Prime Factorization of 9582

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

9582 = 21 × 31 × 15971

Prime Factorization of 9597

Prime factors of 9597 are 3, 7, 457. Prime factorization of 9597 in exponential form is:

9597 = 31 × 71 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 9582 and 9597.

LCM(9582,9597) = 21 × 31 × 15971 × 71 × 4571
LCM(9582,9597) = 30652818