What is the Least Common Multiple of 4104 and 4123?

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 4123 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 4123, than apply into the LCM equation.

GCF(4104,4123) = 19
LCM(4104,4123) = ( 4104 × 4123) / 19
LCM(4104,4123) = 16920792 / 19
LCM(4104,4123) = 890568

Least Common Multiple (LCM) of 4104 and 4123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4123. First we will calculate the prime factors of 4104 and 4123.

Prime Factorization of 4104

Prime Factorization of 4123

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4123.

LCM(4104,4123) = 2³ × 3³ × 19¹ × 7¹ × 31¹
LCM(4104,4123) = 890568