What is the Least Common Multiple of 83924 and 83932?

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 83924 and 83932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83924 and 83932, than apply into the LCM equation.

GCF(83924,83932) = 4
LCM(83924,83932) = ( 83924 × 83932) / 4
LCM(83924,83932) = 7043909168 / 4
LCM(83924,83932) = 1760977292

Least Common Multiple (LCM) of 83924 and 83932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83924 and 83932. First we will calculate the prime factors of 83924 and 83932.

Prime Factorization of 83924

Prime Factorization of 83932

Now multiplying the highest exponent prime factors to calculate the LCM of 83924 and 83932.

LCM(83924,83932) = 2² × 20981¹ × 20983¹
LCM(83924,83932) = 1760977292