What is the Least Common Multiple of 92175 and 92184?

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 92175 and 92184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92175 and 92184, than apply into the LCM equation.

GCF(92175,92184) = 3
LCM(92175,92184) = ( 92175 × 92184) / 3
LCM(92175,92184) = 8497060200 / 3
LCM(92175,92184) = 2832353400

Least Common Multiple (LCM) of 92175 and 92184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92175 and 92184. First we will calculate the prime factors of 92175 and 92184.

Prime Factorization of 92175

Prime Factorization of 92184

Now multiplying the highest exponent prime factors to calculate the LCM of 92175 and 92184.

LCM(92175,92184) = 3¹ × 5² × 1229¹ × 2³ × 23¹ × 167¹
LCM(92175,92184) = 2832353400