What is the Least Common Multiple of 9534 and 9552?

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 9534 and 9552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9534 and 9552, than apply into the LCM equation.

GCF(9534,9552) = 6
LCM(9534,9552) = ( 9534 × 9552) / 6
LCM(9534,9552) = 91068768 / 6
LCM(9534,9552) = 15178128

Least Common Multiple (LCM) of 9534 and 9552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9534 and 9552. First we will calculate the prime factors of 9534 and 9552.

Prime Factorization of 9534

Prime Factorization of 9552

Now multiplying the highest exponent prime factors to calculate the LCM of 9534 and 9552.

LCM(9534,9552) = 2⁴ × 3¹ × 7¹ × 227¹ × 199¹
LCM(9534,9552) = 15178128