What is the Least Common Multiple of 22006 and 22025?

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 22006 and 22025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22006 and 22025, than apply into the LCM equation.

GCF(22006,22025) = 1
LCM(22006,22025) = ( 22006 × 22025) / 1
LCM(22006,22025) = 484682150 / 1
LCM(22006,22025) = 484682150

Least Common Multiple (LCM) of 22006 and 22025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22006 and 22025. First we will calculate the prime factors of 22006 and 22025.

Prime Factorization of 22006

Prime Factorization of 22025

Now multiplying the highest exponent prime factors to calculate the LCM of 22006 and 22025.

LCM(22006,22025) = 2¹ × 11003¹ × 5² × 881¹
LCM(22006,22025) = 484682150