What is the Least Common Multiple of 3085 and 3099?

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 3085 and 3099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3085 and 3099, than apply into the LCM equation.

GCF(3085,3099) = 1
LCM(3085,3099) = ( 3085 × 3099) / 1
LCM(3085,3099) = 9560415 / 1
LCM(3085,3099) = 9560415

Least Common Multiple (LCM) of 3085 and 3099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3085 and 3099. First we will calculate the prime factors of 3085 and 3099.

Prime Factorization of 3085

Prime Factorization of 3099

Now multiplying the highest exponent prime factors to calculate the LCM of 3085 and 3099.

LCM(3085,3099) = 5¹ × 617¹ × 3¹ × 1033¹
LCM(3085,3099) = 9560415