What is the Least Common Multiple of 2075 and 2082?

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 2075 and 2082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2075 and 2082, than apply into the LCM equation.

GCF(2075,2082) = 1
LCM(2075,2082) = ( 2075 × 2082) / 1
LCM(2075,2082) = 4320150 / 1
LCM(2075,2082) = 4320150

Least Common Multiple (LCM) of 2075 and 2082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2075 and 2082. First we will calculate the prime factors of 2075 and 2082.

Prime Factorization of 2075

Prime Factorization of 2082

Now multiplying the highest exponent prime factors to calculate the LCM of 2075 and 2082.

LCM(2075,2082) = 5² × 83¹ × 2¹ × 3¹ × 347¹
LCM(2075,2082) = 4320150