What is the Least Common Multiple of 83906 and 83918?

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 83906 and 83918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83906 and 83918, than apply into the LCM equation.

GCF(83906,83918) = 2
LCM(83906,83918) = ( 83906 × 83918) / 2
LCM(83906,83918) = 7041223708 / 2
LCM(83906,83918) = 3520611854

Least Common Multiple (LCM) of 83906 and 83918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83906 and 83918. First we will calculate the prime factors of 83906 and 83918.

Prime Factorization of 83906

Prime Factorization of 83918

Now multiplying the highest exponent prime factors to calculate the LCM of 83906 and 83918.

LCM(83906,83918) = 2¹ × 41953¹ × 41959¹
LCM(83906,83918) = 3520611854