What is the Least Common Multiple of 83031 and 83036?

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 83031 and 83036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83031 and 83036, than apply into the LCM equation.

GCF(83031,83036) = 1
LCM(83031,83036) = ( 83031 × 83036) / 1
LCM(83031,83036) = 6894562116 / 1
LCM(83031,83036) = 6894562116

Least Common Multiple (LCM) of 83031 and 83036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83031 and 83036. First we will calculate the prime factors of 83031 and 83036.

Prime Factorization of 83031

Prime Factorization of 83036

Now multiplying the highest exponent prime factors to calculate the LCM of 83031 and 83036.

LCM(83031,83036) = 3¹ × 13¹ × 2129¹ × 2² × 20759¹
LCM(83031,83036) = 6894562116