What is the Least Common Multiple of 9642 and 9648?

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 9642 and 9648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9642 and 9648, than apply into the LCM equation.

GCF(9642,9648) = 6
LCM(9642,9648) = ( 9642 × 9648) / 6
LCM(9642,9648) = 93026016 / 6
LCM(9642,9648) = 15504336

Least Common Multiple (LCM) of 9642 and 9648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9642 and 9648. First we will calculate the prime factors of 9642 and 9648.

Prime Factorization of 9642

Prime Factorization of 9648

Now multiplying the highest exponent prime factors to calculate the LCM of 9642 and 9648.

LCM(9642,9648) = 2⁴ × 3² × 1607¹ × 67¹
LCM(9642,9648) = 15504336