What is the Least Common Multiple of 4104 and 4122?

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 4122 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 4122, than apply into the LCM equation.

GCF(4104,4122) = 18
LCM(4104,4122) = ( 4104 × 4122) / 18
LCM(4104,4122) = 16916688 / 18
LCM(4104,4122) = 939816

Least Common Multiple (LCM) of 4104 and 4122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4122. First we will calculate the prime factors of 4104 and 4122.

Prime Factorization of 4104

Prime Factorization of 4122

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4122.

LCM(4104,4122) = 2³ × 3³ × 19¹ × 229¹
LCM(4104,4122) = 939816