What is the Least Common Multiple of 85211 and 85231?

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 85211 and 85231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85211 and 85231, than apply into the LCM equation.

GCF(85211,85231) = 1
LCM(85211,85231) = ( 85211 × 85231) / 1
LCM(85211,85231) = 7262618741 / 1
LCM(85211,85231) = 7262618741

Least Common Multiple (LCM) of 85211 and 85231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85211 and 85231. First we will calculate the prime factors of 85211 and 85231.

Prime Factorization of 85211

Prime Factorization of 85231

Now multiplying the highest exponent prime factors to calculate the LCM of 85211 and 85231.

LCM(85211,85231) = 7² × 37¹ × 47¹ × 29¹ × 2939¹
LCM(85211,85231) = 7262618741