What is the Least Common Multiple of 20025 and 20036?

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 20025 and 20036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20025 and 20036, than apply into the LCM equation.

GCF(20025,20036) = 1
LCM(20025,20036) = ( 20025 × 20036) / 1
LCM(20025,20036) = 401220900 / 1
LCM(20025,20036) = 401220900

Least Common Multiple (LCM) of 20025 and 20036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20025 and 20036. First we will calculate the prime factors of 20025 and 20036.

Prime Factorization of 20025

Prime Factorization of 20036

Now multiplying the highest exponent prime factors to calculate the LCM of 20025 and 20036.

LCM(20025,20036) = 3² × 5² × 89¹ × 2² × 5009¹
LCM(20025,20036) = 401220900