What is the Least Common Multiple of 85023 and 85032?

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 85023 and 85032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85023 and 85032, than apply into the LCM equation.

GCF(85023,85032) = 9
LCM(85023,85032) = ( 85023 × 85032) / 9
LCM(85023,85032) = 7229675736 / 9
LCM(85023,85032) = 803297304

Least Common Multiple (LCM) of 85023 and 85032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85023 and 85032. First we will calculate the prime factors of 85023 and 85032.

Prime Factorization of 85023

Prime Factorization of 85032

Now multiplying the highest exponent prime factors to calculate the LCM of 85023 and 85032.

LCM(85023,85032) = 3³ × 47¹ × 67¹ × 2³ × 1181¹
LCM(85023,85032) = 803297304