What is the Least Common Multiple of 14484 and 14490?

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 14484 and 14490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14484 and 14490, than apply into the LCM equation.

GCF(14484,14490) = 6
LCM(14484,14490) = ( 14484 × 14490) / 6
LCM(14484,14490) = 209873160 / 6
LCM(14484,14490) = 34978860

Least Common Multiple (LCM) of 14484 and 14490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14484 and 14490. First we will calculate the prime factors of 14484 and 14490.

Prime Factorization of 14484

Prime Factorization of 14490

Now multiplying the highest exponent prime factors to calculate the LCM of 14484 and 14490.

LCM(14484,14490) = 2² × 3² × 17¹ × 71¹ × 5¹ × 7¹ × 23¹
LCM(14484,14490) = 34978860