What is the Least Common Multiple of 14438 and 14448?

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 14438 and 14448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14438 and 14448, than apply into the LCM equation.

GCF(14438,14448) = 2
LCM(14438,14448) = ( 14438 × 14448) / 2
LCM(14438,14448) = 208600224 / 2
LCM(14438,14448) = 104300112

Least Common Multiple (LCM) of 14438 and 14448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14438 and 14448. First we will calculate the prime factors of 14438 and 14448.

Prime Factorization of 14438

Prime Factorization of 14448

Now multiplying the highest exponent prime factors to calculate the LCM of 14438 and 14448.

LCM(14438,14448) = 2⁴ × 7219¹ × 3¹ × 7¹ × 43¹
LCM(14438,14448) = 104300112