What is the Least Common Multiple of 14432 and 14450?

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 14432 and 14450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14432 and 14450, than apply into the LCM equation.

GCF(14432,14450) = 2
LCM(14432,14450) = ( 14432 × 14450) / 2
LCM(14432,14450) = 208542400 / 2
LCM(14432,14450) = 104271200

Least Common Multiple (LCM) of 14432 and 14450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14432 and 14450. First we will calculate the prime factors of 14432 and 14450.

Prime Factorization of 14432

Prime Factorization of 14450

Now multiplying the highest exponent prime factors to calculate the LCM of 14432 and 14450.

LCM(14432,14450) = 2⁵ × 11¹ × 41¹ × 5² × 17²
LCM(14432,14450) = 104271200