What is the Least Common Multiple of 83085 and 83098?

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 83085 and 83098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83085 and 83098, than apply into the LCM equation.

GCF(83085,83098) = 1
LCM(83085,83098) = ( 83085 × 83098) / 1
LCM(83085,83098) = 6904197330 / 1
LCM(83085,83098) = 6904197330

Least Common Multiple (LCM) of 83085 and 83098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83085 and 83098. First we will calculate the prime factors of 83085 and 83098.

Prime Factorization of 83085

Prime Factorization of 83098

Now multiplying the highest exponent prime factors to calculate the LCM of 83085 and 83098.

LCM(83085,83098) = 3¹ × 5¹ × 29¹ × 191¹ × 2¹ × 41549¹
LCM(83085,83098) = 6904197330