What is the Least Common Multiple of 14024 and 14043?

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 14024 and 14043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14024 and 14043, than apply into the LCM equation.

GCF(14024,14043) = 1
LCM(14024,14043) = ( 14024 × 14043) / 1
LCM(14024,14043) = 196939032 / 1
LCM(14024,14043) = 196939032

Least Common Multiple (LCM) of 14024 and 14043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14024 and 14043. First we will calculate the prime factors of 14024 and 14043.

Prime Factorization of 14024

Prime Factorization of 14043

Now multiplying the highest exponent prime factors to calculate the LCM of 14024 and 14043.

LCM(14024,14043) = 2³ × 1753¹ × 3¹ × 31¹ × 151¹
LCM(14024,14043) = 196939032