What is the Least Common Multiple of 14469 and 14484?

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 14469 and 14484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14469 and 14484, than apply into the LCM equation.

GCF(14469,14484) = 3
LCM(14469,14484) = ( 14469 × 14484) / 3
LCM(14469,14484) = 209568996 / 3
LCM(14469,14484) = 69856332

Least Common Multiple (LCM) of 14469 and 14484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14469 and 14484. First we will calculate the prime factors of 14469 and 14484.

Prime Factorization of 14469

Prime Factorization of 14484

Now multiplying the highest exponent prime factors to calculate the LCM of 14469 and 14484.

LCM(14469,14484) = 3¹ × 7¹ × 13¹ × 53¹ × 2² × 17¹ × 71¹
LCM(14469,14484) = 69856332