What is the Least Common Multiple of 75226 and 75231?

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 75226 and 75231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75226 and 75231, than apply into the LCM equation.

GCF(75226,75231) = 1
LCM(75226,75231) = ( 75226 × 75231) / 1
LCM(75226,75231) = 5659327206 / 1
LCM(75226,75231) = 5659327206

Least Common Multiple (LCM) of 75226 and 75231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75226 and 75231. First we will calculate the prime factors of 75226 and 75231.

Prime Factorization of 75226

Prime Factorization of 75231

Now multiplying the highest exponent prime factors to calculate the LCM of 75226 and 75231.

LCM(75226,75231) = 2¹ × 29¹ × 1297¹ × 3² × 13¹ × 643¹
LCM(75226,75231) = 5659327206