What is the Least Common Multiple of 2085 and 2090?

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 2085 and 2090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2085 and 2090, than apply into the LCM equation.

GCF(2085,2090) = 5
LCM(2085,2090) = ( 2085 × 2090) / 5
LCM(2085,2090) = 4357650 / 5
LCM(2085,2090) = 871530

Least Common Multiple (LCM) of 2085 and 2090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2085 and 2090. First we will calculate the prime factors of 2085 and 2090.

Prime Factorization of 2085

Prime Factorization of 2090

Now multiplying the highest exponent prime factors to calculate the LCM of 2085 and 2090.

LCM(2085,2090) = 3¹ × 5¹ × 139¹ × 2¹ × 11¹ × 19¹
LCM(2085,2090) = 871530