What is the Least Common Multiple of 9184 and 9192?

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 9184 and 9192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9184 and 9192, than apply into the LCM equation.

GCF(9184,9192) = 8
LCM(9184,9192) = ( 9184 × 9192) / 8
LCM(9184,9192) = 84419328 / 8
LCM(9184,9192) = 10552416

Least Common Multiple (LCM) of 9184 and 9192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9184 and 9192. First we will calculate the prime factors of 9184 and 9192.

Prime Factorization of 9184

Prime Factorization of 9192

Now multiplying the highest exponent prime factors to calculate the LCM of 9184 and 9192.

LCM(9184,9192) = 2⁵ × 7¹ × 41¹ × 3¹ × 383¹
LCM(9184,9192) = 10552416