What is the Least Common Multiple of 14416 and 14433?

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 14433 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 14433, than apply into the LCM equation.

GCF(14416,14433) = 17
LCM(14416,14433) = ( 14416 × 14433) / 17
LCM(14416,14433) = 208066128 / 17
LCM(14416,14433) = 12239184

Least Common Multiple (LCM) of 14416 and 14433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14416 and 14433. First we will calculate the prime factors of 14416 and 14433.

Prime Factorization of 14416

Prime Factorization of 14433

Now multiplying the highest exponent prime factors to calculate the LCM of 14416 and 14433.

LCM(14416,14433) = 2⁴ × 17¹ × 53¹ × 3¹ × 283¹
LCM(14416,14433) = 12239184