What is the Least Common Multiple of 85023 and 85035?

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 85035 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 85035, than apply into the LCM equation.

GCF(85023,85035) = 3
LCM(85023,85035) = ( 85023 × 85035) / 3
LCM(85023,85035) = 7229930805 / 3
LCM(85023,85035) = 2409976935

Least Common Multiple (LCM) of 85023 and 85035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85023 and 85035. First we will calculate the prime factors of 85023 and 85035.

Prime Factorization of 85023

Prime Factorization of 85035

Now multiplying the highest exponent prime factors to calculate the LCM of 85023 and 85035.

LCM(85023,85035) = 3³ × 47¹ × 67¹ × 5¹ × 5669¹
LCM(85023,85035) = 2409976935