What is the Least Common Multiple of 96175 and 96183?

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 96175 and 96183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96175 and 96183, than apply into the LCM equation.

GCF(96175,96183) = 1
LCM(96175,96183) = ( 96175 × 96183) / 1
LCM(96175,96183) = 9250400025 / 1
LCM(96175,96183) = 9250400025

Least Common Multiple (LCM) of 96175 and 96183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96175 and 96183. First we will calculate the prime factors of 96175 and 96183.

Prime Factorization of 96175

Prime Factorization of 96183

Now multiplying the highest exponent prime factors to calculate the LCM of 96175 and 96183.

LCM(96175,96183) = 5² × 3847¹ × 3² × 10687¹
LCM(96175,96183) = 9250400025