What is the Least Common Multiple of 92855 and 92875?

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 92855 and 92875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92855 and 92875, than apply into the LCM equation.

GCF(92855,92875) = 5
LCM(92855,92875) = ( 92855 × 92875) / 5
LCM(92855,92875) = 8623908125 / 5
LCM(92855,92875) = 1724781625

Least Common Multiple (LCM) of 92855 and 92875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92855 and 92875. First we will calculate the prime factors of 92855 and 92875.

Prime Factorization of 92855

Prime Factorization of 92875

Now multiplying the highest exponent prime factors to calculate the LCM of 92855 and 92875.

LCM(92855,92875) = 5³ × 7² × 379¹ × 743¹
LCM(92855,92875) = 1724781625