What is the Least Common Multiple of 14049 and 14063?

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 14049 and 14063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14049 and 14063, than apply into the LCM equation.

GCF(14049,14063) = 7
LCM(14049,14063) = ( 14049 × 14063) / 7
LCM(14049,14063) = 197571087 / 7
LCM(14049,14063) = 28224441

Least Common Multiple (LCM) of 14049 and 14063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14049 and 14063. First we will calculate the prime factors of 14049 and 14063.

Prime Factorization of 14049

Prime Factorization of 14063

Now multiplying the highest exponent prime factors to calculate the LCM of 14049 and 14063.

LCM(14049,14063) = 3² × 7³ × 223¹ × 41¹
LCM(14049,14063) = 28224441