What is the Least Common Multiple of 41130 and 41145?

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 41130 and 41145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41130 and 41145, than apply into the LCM equation.

GCF(41130,41145) = 15
LCM(41130,41145) = ( 41130 × 41145) / 15
LCM(41130,41145) = 1692293850 / 15
LCM(41130,41145) = 112819590

Least Common Multiple (LCM) of 41130 and 41145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41130 and 41145. First we will calculate the prime factors of 41130 and 41145.

Prime Factorization of 41130

Prime Factorization of 41145

Now multiplying the highest exponent prime factors to calculate the LCM of 41130 and 41145.

LCM(41130,41145) = 2¹ × 3² × 5¹ × 457¹ × 13¹ × 211¹
LCM(41130,41145) = 112819590