What is the Least Common Multiple of 92875 and 92887?

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 92875 and 92887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92875 and 92887, than apply into the LCM equation.

GCF(92875,92887) = 1
LCM(92875,92887) = ( 92875 × 92887) / 1
LCM(92875,92887) = 8626880125 / 1
LCM(92875,92887) = 8626880125

Least Common Multiple (LCM) of 92875 and 92887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92875 and 92887. First we will calculate the prime factors of 92875 and 92887.

Prime Factorization of 92875

Prime Factorization of 92887

Now multiplying the highest exponent prime factors to calculate the LCM of 92875 and 92887.

LCM(92875,92887) = 5³ × 743¹ × 29¹ × 3203¹
LCM(92875,92887) = 8626880125