What is the Least Common Multiple of 9552 and 9567?

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 9567 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 9567, than apply into the LCM equation.

GCF(9552,9567) = 3
LCM(9552,9567) = ( 9552 × 9567) / 3
LCM(9552,9567) = 91383984 / 3
LCM(9552,9567) = 30461328

Least Common Multiple (LCM) of 9552 and 9567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9552 and 9567. First we will calculate the prime factors of 9552 and 9567.

Prime Factorization of 9552

Prime Factorization of 9567

Now multiplying the highest exponent prime factors to calculate the LCM of 9552 and 9567.

LCM(9552,9567) = 2⁴ × 3² × 199¹ × 1063¹
LCM(9552,9567) = 30461328