What is the Least Common Multiple of 9648 and 9654?

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 9654 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 9654, than apply into the LCM equation.

GCF(9648,9654) = 6
LCM(9648,9654) = ( 9648 × 9654) / 6
LCM(9648,9654) = 93141792 / 6
LCM(9648,9654) = 15523632

Least Common Multiple (LCM) of 9648 and 9654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9648 and 9654. First we will calculate the prime factors of 9648 and 9654.

Prime Factorization of 9648

Prime Factorization of 9654

Now multiplying the highest exponent prime factors to calculate the LCM of 9648 and 9654.

LCM(9648,9654) = 2⁴ × 3² × 67¹ × 1609¹
LCM(9648,9654) = 15523632