What is the Least Common Multiple of 28025 and 28044?

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 28025 and 28044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28025 and 28044, than apply into the LCM equation.

GCF(28025,28044) = 19
LCM(28025,28044) = ( 28025 × 28044) / 19
LCM(28025,28044) = 785933100 / 19
LCM(28025,28044) = 41364900

Least Common Multiple (LCM) of 28025 and 28044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28025 and 28044. First we will calculate the prime factors of 28025 and 28044.

Prime Factorization of 28025

Prime Factorization of 28044

Now multiplying the highest exponent prime factors to calculate the LCM of 28025 and 28044.

LCM(28025,28044) = 5² × 19¹ × 59¹ × 2² × 3² × 41¹
LCM(28025,28044) = 41364900