What is the Least Common Multiple of 83932 and 83939?

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 83932 and 83939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83932 and 83939, than apply into the LCM equation.

GCF(83932,83939) = 1
LCM(83932,83939) = ( 83932 × 83939) / 1
LCM(83932,83939) = 7045168148 / 1
LCM(83932,83939) = 7045168148

Least Common Multiple (LCM) of 83932 and 83939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83932 and 83939. First we will calculate the prime factors of 83932 and 83939.

Prime Factorization of 83932

Prime Factorization of 83939

Now multiplying the highest exponent prime factors to calculate the LCM of 83932 and 83939.

LCM(83932,83939) = 2² × 20983¹ × 83939¹
LCM(83932,83939) = 7045168148