What is the Least Common Multiple of 14024 and 14041?

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 14041 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 14041, than apply into the LCM equation.

GCF(14024,14041) = 1
LCM(14024,14041) = ( 14024 × 14041) / 1
LCM(14024,14041) = 196910984 / 1
LCM(14024,14041) = 196910984

Least Common Multiple (LCM) of 14024 and 14041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14024 and 14041. First we will calculate the prime factors of 14024 and 14041.

Prime Factorization of 14024

Prime Factorization of 14041

Now multiplying the highest exponent prime factors to calculate the LCM of 14024 and 14041.

LCM(14024,14041) = 2³ × 1753¹ × 19¹ × 739¹
LCM(14024,14041) = 196910984