What is the Least Common Multiple of 96192 and 96210?

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 96210 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 96210, than apply into the LCM equation.

GCF(96192,96210) = 18
LCM(96192,96210) = ( 96192 × 96210) / 18
LCM(96192,96210) = 9254632320 / 18
LCM(96192,96210) = 514146240

Least Common Multiple (LCM) of 96192 and 96210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96192 and 96210. First we will calculate the prime factors of 96192 and 96210.

Prime Factorization of 96192

Prime Factorization of 96210

Now multiplying the highest exponent prime factors to calculate the LCM of 96192 and 96210.

LCM(96192,96210) = 2⁶ × 3² × 167¹ × 5¹ × 1069¹
LCM(96192,96210) = 514146240