What is the Least Common Multiple of 96192 and 96200?

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 96192 and 96200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96192 and 96200, than apply into the LCM equation.

GCF(96192,96200) = 8
LCM(96192,96200) = ( 96192 × 96200) / 8
LCM(96192,96200) = 9253670400 / 8
LCM(96192,96200) = 1156708800

Least Common Multiple (LCM) of 96192 and 96200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96192 and 96200. First we will calculate the prime factors of 96192 and 96200.

Prime Factorization of 96192

Prime Factorization of 96200

Now multiplying the highest exponent prime factors to calculate the LCM of 96192 and 96200.

LCM(96192,96200) = 2⁶ × 3² × 167¹ × 5² × 13¹ × 37¹
LCM(96192,96200) = 1156708800