What is the Least Common Multiple of 14463 and 14483?

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 14463 and 14483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14463 and 14483, than apply into the LCM equation.

GCF(14463,14483) = 1
LCM(14463,14483) = ( 14463 × 14483) / 1
LCM(14463,14483) = 209467629 / 1
LCM(14463,14483) = 209467629

Least Common Multiple (LCM) of 14463 and 14483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14463 and 14483. First we will calculate the prime factors of 14463 and 14483.

Prime Factorization of 14463

Prime Factorization of 14483

Now multiplying the highest exponent prime factors to calculate the LCM of 14463 and 14483.

LCM(14463,14483) = 3² × 1607¹ × 7¹ × 2069¹
LCM(14463,14483) = 209467629