What is the Least Common Multiple of 9582 and 9598?

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 of 9582 and 9598 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 9598, than apply into the LCM equation.

GCF(9582,9598) = 2
LCM(9582,9598) = ( 9582 × 9598) / 2
LCM(9582,9598) = 91968036 / 2
LCM(9582,9598) = 45984018

Least Common Multiple (LCM) of 9582 and 9598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9582 and 9598. First we will calculate the prime factors of 9582 and 9598.

Prime Factorization of 9582

Prime Factorization of 9598

Now multiplying the highest exponent prime factors to calculate the LCM of 9582 and 9598.

LCM(9582,9598) = 2¹ × 3¹ × 1597¹ × 4799¹
LCM(9582,9598) = 45984018