What is the Least Common Multiple of 14712 and 14728?

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 14712 and 14728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14712 and 14728, than apply into the LCM equation.

GCF(14712,14728) = 8
LCM(14712,14728) = ( 14712 × 14728) / 8
LCM(14712,14728) = 216678336 / 8
LCM(14712,14728) = 27084792

Least Common Multiple (LCM) of 14712 and 14728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14712 and 14728. First we will calculate the prime factors of 14712 and 14728.

Prime Factorization of 14712

Prime Factorization of 14728

Now multiplying the highest exponent prime factors to calculate the LCM of 14712 and 14728.

LCM(14712,14728) = 2³ × 3¹ × 613¹ × 7¹ × 263¹
LCM(14712,14728) = 27084792