What is the Least Common Multiple of 92385 and 92405?

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 92405 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 92405, than apply into the LCM equation.

GCF(92385,92405) = 5
LCM(92385,92405) = ( 92385 × 92405) / 5
LCM(92385,92405) = 8536835925 / 5
LCM(92385,92405) = 1707367185

Least Common Multiple (LCM) of 92385 and 92405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92385 and 92405. First we will calculate the prime factors of 92385 and 92405.

Prime Factorization of 92385

Prime Factorization of 92405

Now multiplying the highest exponent prime factors to calculate the LCM of 92385 and 92405.

LCM(92385,92405) = 3² × 5¹ × 2053¹ × 18481¹
LCM(92385,92405) = 1707367185