What is the Least Common Multiple of 96186 and 96192?

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 96186 and 96192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96186 and 96192, than apply into the LCM equation.

GCF(96186,96192) = 6
LCM(96186,96192) = ( 96186 × 96192) / 6
LCM(96186,96192) = 9252323712 / 6
LCM(96186,96192) = 1542053952

Least Common Multiple (LCM) of 96186 and 96192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96186 and 96192. First we will calculate the prime factors of 96186 and 96192.

Prime Factorization of 96186

Prime Factorization of 96192

Now multiplying the highest exponent prime factors to calculate the LCM of 96186 and 96192.

LCM(96186,96192) = 2⁶ × 3² × 17¹ × 23¹ × 41¹ × 167¹
LCM(96186,96192) = 1542053952