What is the Least Common Multiple of 4104 and 4119?

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 4104 and 4119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4104 and 4119, than apply into the LCM equation.

GCF(4104,4119) = 3
LCM(4104,4119) = ( 4104 × 4119) / 3
LCM(4104,4119) = 16904376 / 3
LCM(4104,4119) = 5634792

Least Common Multiple (LCM) of 4104 and 4119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4119. First we will calculate the prime factors of 4104 and 4119.

Prime Factorization of 4104

Prime Factorization of 4119

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4119.

LCM(4104,4119) = 2³ × 3³ × 19¹ × 1373¹
LCM(4104,4119) = 5634792