What is the Least Common Multiple of 85284 and 85293?

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 85284 and 85293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85284 and 85293, than apply into the LCM equation.

GCF(85284,85293) = 9
LCM(85284,85293) = ( 85284 × 85293) / 9
LCM(85284,85293) = 7274128212 / 9
LCM(85284,85293) = 808236468

Least Common Multiple (LCM) of 85284 and 85293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85284 and 85293. First we will calculate the prime factors of 85284 and 85293.

Prime Factorization of 85284

Prime Factorization of 85293

Now multiplying the highest exponent prime factors to calculate the LCM of 85284 and 85293.

LCM(85284,85293) = 2² × 3⁸ × 23¹ × 103¹ × 13¹
LCM(85284,85293) = 808236468