What is the Least Common Multiple of 92850 and 92857?

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 92850 and 92857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92850 and 92857, than apply into the LCM equation.

GCF(92850,92857) = 1
LCM(92850,92857) = ( 92850 × 92857) / 1
LCM(92850,92857) = 8621772450 / 1
LCM(92850,92857) = 8621772450

Least Common Multiple (LCM) of 92850 and 92857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92850 and 92857. First we will calculate the prime factors of 92850 and 92857.

Prime Factorization of 92850

Prime Factorization of 92857

Now multiplying the highest exponent prime factors to calculate the LCM of 92850 and 92857.

LCM(92850,92857) = 2¹ × 3¹ × 5² × 619¹ × 92857¹
LCM(92850,92857) = 8621772450