What is the Least Common Multiple of 39906 and 39922?

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 39906 and 39922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39906 and 39922, than apply into the LCM equation.

GCF(39906,39922) = 2
LCM(39906,39922) = ( 39906 × 39922) / 2
LCM(39906,39922) = 1593127332 / 2
LCM(39906,39922) = 796563666

Least Common Multiple (LCM) of 39906 and 39922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39906 and 39922. First we will calculate the prime factors of 39906 and 39922.

Prime Factorization of 39906

Prime Factorization of 39922

Now multiplying the highest exponent prime factors to calculate the LCM of 39906 and 39922.

LCM(39906,39922) = 2¹ × 3³ × 739¹ × 19961¹
LCM(39906,39922) = 796563666