What is the Least Common Multiple of 83118 and 83133?

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 83118 and 83133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83118 and 83133, than apply into the LCM equation.

GCF(83118,83133) = 3
LCM(83118,83133) = ( 83118 × 83133) / 3
LCM(83118,83133) = 6909848694 / 3
LCM(83118,83133) = 2303282898

Least Common Multiple (LCM) of 83118 and 83133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83118 and 83133. First we will calculate the prime factors of 83118 and 83133.

Prime Factorization of 83118

Prime Factorization of 83133

Now multiplying the highest exponent prime factors to calculate the LCM of 83118 and 83133.

LCM(83118,83133) = 2¹ × 3³ × 7¹ × 1979¹ × 3079¹
LCM(83118,83133) = 2303282898