What is the Least Common Multiple of 41906 and 41922?

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 41906 and 41922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41906 and 41922, than apply into the LCM equation.

GCF(41906,41922) = 2
LCM(41906,41922) = ( 41906 × 41922) / 2
LCM(41906,41922) = 1756783332 / 2
LCM(41906,41922) = 878391666

Least Common Multiple (LCM) of 41906 and 41922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41906 and 41922. First we will calculate the prime factors of 41906 and 41922.

Prime Factorization of 41906

Prime Factorization of 41922

Now multiplying the highest exponent prime factors to calculate the LCM of 41906 and 41922.

LCM(41906,41922) = 2¹ × 23¹ × 911¹ × 3² × 17¹ × 137¹
LCM(41906,41922) = 878391666