What is the Least Common Multiple of 83900 and 83906?

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 83900 and 83906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83900 and 83906, than apply into the LCM equation.

GCF(83900,83906) = 2
LCM(83900,83906) = ( 83900 × 83906) / 2
LCM(83900,83906) = 7039713400 / 2
LCM(83900,83906) = 3519856700

Least Common Multiple (LCM) of 83900 and 83906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83900 and 83906. First we will calculate the prime factors of 83900 and 83906.

Prime Factorization of 83900

Prime Factorization of 83906

Now multiplying the highest exponent prime factors to calculate the LCM of 83900 and 83906.

LCM(83900,83906) = 2² × 5² × 839¹ × 41953¹
LCM(83900,83906) = 3519856700