What is the Least Common Multiple of 9609 and 9627?

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 9609 and 9627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9609 and 9627, than apply into the LCM equation.

GCF(9609,9627) = 3
LCM(9609,9627) = ( 9609 × 9627) / 3
LCM(9609,9627) = 92505843 / 3
LCM(9609,9627) = 30835281

Least Common Multiple (LCM) of 9609 and 9627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9609 and 9627. First we will calculate the prime factors of 9609 and 9627.

Prime Factorization of 9609

Prime Factorization of 9627

Now multiplying the highest exponent prime factors to calculate the LCM of 9609 and 9627.

LCM(9609,9627) = 3¹ × 3203¹ × 3209¹
LCM(9609,9627) = 30835281