What is the Least Common Multiple of 2009 and 2025?

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 2009 and 2025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2009 and 2025, than apply into the LCM equation.

GCF(2009,2025) = 1
LCM(2009,2025) = ( 2009 × 2025) / 1
LCM(2009,2025) = 4068225 / 1
LCM(2009,2025) = 4068225

Least Common Multiple (LCM) of 2009 and 2025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2009 and 2025. First we will calculate the prime factors of 2009 and 2025.

Prime Factorization of 2009

Prime Factorization of 2025

Now multiplying the highest exponent prime factors to calculate the LCM of 2009 and 2025.

LCM(2009,2025) = 7² × 41¹ × 3⁴ × 5²
LCM(2009,2025) = 4068225