What is the Least Common Multiple of 92385 and 92399?

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 92385 and 92399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92385 and 92399, than apply into the LCM equation.

GCF(92385,92399) = 1
LCM(92385,92399) = ( 92385 × 92399) / 1
LCM(92385,92399) = 8536281615 / 1
LCM(92385,92399) = 8536281615

Least Common Multiple (LCM) of 92385 and 92399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92385 and 92399. First we will calculate the prime factors of 92385 and 92399.

Prime Factorization of 92385

Prime Factorization of 92399

Now multiplying the highest exponent prime factors to calculate the LCM of 92385 and 92399.

LCM(92385,92399) = 3² × 5¹ × 2053¹ × 92399¹
LCM(92385,92399) = 8536281615