What is the Least Common Multiple of 2103 and 2107?

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 2103 and 2107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2103 and 2107, than apply into the LCM equation.

GCF(2103,2107) = 1
LCM(2103,2107) = ( 2103 × 2107) / 1
LCM(2103,2107) = 4431021 / 1
LCM(2103,2107) = 4431021

Least Common Multiple (LCM) of 2103 and 2107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2103 and 2107. First we will calculate the prime factors of 2103 and 2107.

Prime Factorization of 2103

Prime Factorization of 2107

Now multiplying the highest exponent prime factors to calculate the LCM of 2103 and 2107.

LCM(2103,2107) = 3¹ × 701¹ × 7² × 43¹
LCM(2103,2107) = 4431021