What is the Least Common Multiple of 9648 and 9657?

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 9648 and 9657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9648 and 9657, than apply into the LCM equation.

GCF(9648,9657) = 9
LCM(9648,9657) = ( 9648 × 9657) / 9
LCM(9648,9657) = 93170736 / 9
LCM(9648,9657) = 10352304

Least Common Multiple (LCM) of 9648 and 9657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9648 and 9657. First we will calculate the prime factors of 9648 and 9657.

Prime Factorization of 9648

Prime Factorization of 9657

Now multiplying the highest exponent prime factors to calculate the LCM of 9648 and 9657.

LCM(9648,9657) = 2⁴ × 3² × 67¹ × 29¹ × 37¹
LCM(9648,9657) = 10352304