What is the Least Common Multiple of 14458 and 14476?

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 14458 and 14476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14458 and 14476, than apply into the LCM equation.

GCF(14458,14476) = 2
LCM(14458,14476) = ( 14458 × 14476) / 2
LCM(14458,14476) = 209294008 / 2
LCM(14458,14476) = 104647004

Least Common Multiple (LCM) of 14458 and 14476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14458 and 14476. First we will calculate the prime factors of 14458 and 14476.

Prime Factorization of 14458

Prime Factorization of 14476

Now multiplying the highest exponent prime factors to calculate the LCM of 14458 and 14476.

LCM(14458,14476) = 2² × 7229¹ × 7¹ × 11¹ × 47¹
LCM(14458,14476) = 104647004