What is the Least Common Multiple of 41130 and 41141?

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 41141 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 41141, than apply into the LCM equation.

GCF(41130,41141) = 1
LCM(41130,41141) = ( 41130 × 41141) / 1
LCM(41130,41141) = 1692129330 / 1
LCM(41130,41141) = 1692129330

Least Common Multiple (LCM) of 41130 and 41141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41130 and 41141. First we will calculate the prime factors of 41130 and 41141.

Prime Factorization of 41130

Prime Factorization of 41141

Now multiplying the highest exponent prime factors to calculate the LCM of 41130 and 41141.

LCM(41130,41141) = 2¹ × 3² × 5¹ × 457¹ × 41141¹
LCM(41130,41141) = 1692129330