What is the Least Common Multiple of 9564 and 9576?

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 9564 and 9576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9564 and 9576, than apply into the LCM equation.

GCF(9564,9576) = 12
LCM(9564,9576) = ( 9564 × 9576) / 12
LCM(9564,9576) = 91584864 / 12
LCM(9564,9576) = 7632072

Least Common Multiple (LCM) of 9564 and 9576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9564 and 9576. First we will calculate the prime factors of 9564 and 9576.

Prime Factorization of 9564

Prime Factorization of 9576

Now multiplying the highest exponent prime factors to calculate the LCM of 9564 and 9576.

LCM(9564,9576) = 2³ × 3² × 797¹ × 7¹ × 19¹
LCM(9564,9576) = 7632072