What is the Least Common Multiple of 9630 and 9645?

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 9630 and 9645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9630 and 9645, than apply into the LCM equation.

GCF(9630,9645) = 15
LCM(9630,9645) = ( 9630 × 9645) / 15
LCM(9630,9645) = 92881350 / 15
LCM(9630,9645) = 6192090

Least Common Multiple (LCM) of 9630 and 9645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9630 and 9645. First we will calculate the prime factors of 9630 and 9645.

Prime Factorization of 9630

Prime Factorization of 9645

Now multiplying the highest exponent prime factors to calculate the LCM of 9630 and 9645.

LCM(9630,9645) = 2¹ × 3² × 5¹ × 107¹ × 643¹
LCM(9630,9645) = 6192090