What is the Least Common Multiple of 9648 and 9664?

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 9664 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 9664, than apply into the LCM equation.

GCF(9648,9664) = 16
LCM(9648,9664) = ( 9648 × 9664) / 16
LCM(9648,9664) = 93238272 / 16
LCM(9648,9664) = 5827392

Least Common Multiple (LCM) of 9648 and 9664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9648 and 9664. First we will calculate the prime factors of 9648 and 9664.

Prime Factorization of 9648

Prime Factorization of 9664

Now multiplying the highest exponent prime factors to calculate the LCM of 9648 and 9664.

LCM(9648,9664) = 2⁶ × 3² × 67¹ × 151¹
LCM(9648,9664) = 5827392