What is the Least Common Multiple of 41196 and 41205?

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 41196 and 41205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41196 and 41205, than apply into the LCM equation.

GCF(41196,41205) = 3
LCM(41196,41205) = ( 41196 × 41205) / 3
LCM(41196,41205) = 1697481180 / 3
LCM(41196,41205) = 565827060

Least Common Multiple (LCM) of 41196 and 41205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41196 and 41205. First we will calculate the prime factors of 41196 and 41205.

Prime Factorization of 41196

Prime Factorization of 41205

Now multiplying the highest exponent prime factors to calculate the LCM of 41196 and 41205.

LCM(41196,41205) = 2² × 3¹ × 3433¹ × 5¹ × 41¹ × 67¹
LCM(41196,41205) = 565827060