What is the Least Common Multiple of 92250 and 92256?

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 92250 and 92256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92250 and 92256, than apply into the LCM equation.

GCF(92250,92256) = 6
LCM(92250,92256) = ( 92250 × 92256) / 6
LCM(92250,92256) = 8510616000 / 6
LCM(92250,92256) = 1418436000

Least Common Multiple (LCM) of 92250 and 92256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92250 and 92256. First we will calculate the prime factors of 92250 and 92256.

Prime Factorization of 92250

Prime Factorization of 92256

Now multiplying the highest exponent prime factors to calculate the LCM of 92250 and 92256.

LCM(92250,92256) = 2⁵ × 3² × 5³ × 41¹ × 31²
LCM(92250,92256) = 1418436000