What is the Least Common Multiple of 9552 and 9564?

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 9552 and 9564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9552 and 9564, than apply into the LCM equation.

GCF(9552,9564) = 12
LCM(9552,9564) = ( 9552 × 9564) / 12
LCM(9552,9564) = 91355328 / 12
LCM(9552,9564) = 7612944

Least Common Multiple (LCM) of 9552 and 9564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9552 and 9564. First we will calculate the prime factors of 9552 and 9564.

Prime Factorization of 9552

Prime Factorization of 9564

Now multiplying the highest exponent prime factors to calculate the LCM of 9552 and 9564.

LCM(9552,9564) = 2⁴ × 3¹ × 199¹ × 797¹
LCM(9552,9564) = 7612944