What is the Least Common Multiple of 2985 and 3005?

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 2985 and 3005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2985 and 3005, than apply into the LCM equation.

GCF(2985,3005) = 5
LCM(2985,3005) = ( 2985 × 3005) / 5
LCM(2985,3005) = 8969925 / 5
LCM(2985,3005) = 1793985

Least Common Multiple (LCM) of 2985 and 3005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2985 and 3005. First we will calculate the prime factors of 2985 and 3005.

Prime Factorization of 2985

Prime Factorization of 3005

Now multiplying the highest exponent prime factors to calculate the LCM of 2985 and 3005.

LCM(2985,3005) = 3¹ × 5¹ × 199¹ × 601¹
LCM(2985,3005) = 1793985