What is the Least Common Multiple of 41192 and 41198?

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 41192 and 41198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41192 and 41198, than apply into the LCM equation.

GCF(41192,41198) = 2
LCM(41192,41198) = ( 41192 × 41198) / 2
LCM(41192,41198) = 1697028016 / 2
LCM(41192,41198) = 848514008

Least Common Multiple (LCM) of 41192 and 41198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41192 and 41198. First we will calculate the prime factors of 41192 and 41198.

Prime Factorization of 41192

Prime Factorization of 41198

Now multiplying the highest exponent prime factors to calculate the LCM of 41192 and 41198.

LCM(41192,41198) = 2³ × 19¹ × 271¹ × 20599¹
LCM(41192,41198) = 848514008