What is the Least Common Multiple of 83085 and 83094?

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 83094 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 83094, than apply into the LCM equation.

GCF(83085,83094) = 3
LCM(83085,83094) = ( 83085 × 83094) / 3
LCM(83085,83094) = 6903864990 / 3
LCM(83085,83094) = 2301288330

Least Common Multiple (LCM) of 83085 and 83094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83085 and 83094. First we will calculate the prime factors of 83085 and 83094.

Prime Factorization of 83085

Prime Factorization of 83094

Now multiplying the highest exponent prime factors to calculate the LCM of 83085 and 83094.

LCM(83085,83094) = 3¹ × 5¹ × 29¹ × 191¹ × 2¹ × 11¹ × 1259¹
LCM(83085,83094) = 2301288330