What is the Least Common Multiple of 9483 and 9498?

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 9483 and 9498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9483 and 9498, than apply into the LCM equation.

GCF(9483,9498) = 3
LCM(9483,9498) = ( 9483 × 9498) / 3
LCM(9483,9498) = 90069534 / 3
LCM(9483,9498) = 30023178

Least Common Multiple (LCM) of 9483 and 9498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9483 and 9498. First we will calculate the prime factors of 9483 and 9498.

Prime Factorization of 9483

Prime Factorization of 9498

Now multiplying the highest exponent prime factors to calculate the LCM of 9483 and 9498.

LCM(9483,9498) = 3¹ × 29¹ × 109¹ × 2¹ × 1583¹
LCM(9483,9498) = 30023178