What is the Least Common Multiple of 2082 and 2087?

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 2082 and 2087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2082 and 2087, than apply into the LCM equation.

GCF(2082,2087) = 1
LCM(2082,2087) = ( 2082 × 2087) / 1
LCM(2082,2087) = 4345134 / 1
LCM(2082,2087) = 4345134

Least Common Multiple (LCM) of 2082 and 2087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2082 and 2087. First we will calculate the prime factors of 2082 and 2087.

Prime Factorization of 2082

Prime Factorization of 2087

Now multiplying the highest exponent prime factors to calculate the LCM of 2082 and 2087.

LCM(2082,2087) = 2¹ × 3¹ × 347¹ × 2087¹
LCM(2082,2087) = 4345134