What is the Least Common Multiple of 9645 and 9651?

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 9645 and 9651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9645 and 9651, than apply into the LCM equation.

GCF(9645,9651) = 3
LCM(9645,9651) = ( 9645 × 9651) / 3
LCM(9645,9651) = 93083895 / 3
LCM(9645,9651) = 31027965

Least Common Multiple (LCM) of 9645 and 9651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9645 and 9651. First we will calculate the prime factors of 9645 and 9651.

Prime Factorization of 9645

Prime Factorization of 9651

Now multiplying the highest exponent prime factors to calculate the LCM of 9645 and 9651.

LCM(9645,9651) = 3¹ × 5¹ × 643¹ × 3217¹
LCM(9645,9651) = 31027965