What is the Least Common Multiple of 2108 and 2127?

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 2108 and 2127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2108 and 2127, than apply into the LCM equation.

GCF(2108,2127) = 1
LCM(2108,2127) = ( 2108 × 2127) / 1
LCM(2108,2127) = 4483716 / 1
LCM(2108,2127) = 4483716

Least Common Multiple (LCM) of 2108 and 2127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2108 and 2127. First we will calculate the prime factors of 2108 and 2127.

Prime Factorization of 2108

Prime Factorization of 2127

Now multiplying the highest exponent prime factors to calculate the LCM of 2108 and 2127.

LCM(2108,2127) = 2² × 17¹ × 31¹ × 3¹ × 709¹
LCM(2108,2127) = 4483716