What is the Least Common Multiple of 14416 and 14428?

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 14416 and 14428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14416 and 14428, than apply into the LCM equation.

GCF(14416,14428) = 4
LCM(14416,14428) = ( 14416 × 14428) / 4
LCM(14416,14428) = 207994048 / 4
LCM(14416,14428) = 51998512

Least Common Multiple (LCM) of 14416 and 14428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14416 and 14428. First we will calculate the prime factors of 14416 and 14428.

Prime Factorization of 14416

Prime Factorization of 14428

Now multiplying the highest exponent prime factors to calculate the LCM of 14416 and 14428.

LCM(14416,14428) = 2⁴ × 17¹ × 53¹ × 3607¹
LCM(14416,14428) = 51998512