What is the Least Common Multiple of 14025 and 14044?

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 14025 and 14044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14025 and 14044, than apply into the LCM equation.

GCF(14025,14044) = 1
LCM(14025,14044) = ( 14025 × 14044) / 1
LCM(14025,14044) = 196967100 / 1
LCM(14025,14044) = 196967100

Least Common Multiple (LCM) of 14025 and 14044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14025 and 14044. First we will calculate the prime factors of 14025 and 14044.

Prime Factorization of 14025

Prime Factorization of 14044

Now multiplying the highest exponent prime factors to calculate the LCM of 14025 and 14044.

LCM(14025,14044) = 3¹ × 5² × 11¹ × 17¹ × 2² × 3511¹
LCM(14025,14044) = 196967100