What is the Least Common Multiple of 11025 and 11040?

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 11025 and 11040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11025 and 11040, than apply into the LCM equation.

GCF(11025,11040) = 15
LCM(11025,11040) = ( 11025 × 11040) / 15
LCM(11025,11040) = 121716000 / 15
LCM(11025,11040) = 8114400

Least Common Multiple (LCM) of 11025 and 11040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11025 and 11040. First we will calculate the prime factors of 11025 and 11040.

Prime Factorization of 11025

Prime Factorization of 11040

Now multiplying the highest exponent prime factors to calculate the LCM of 11025 and 11040.

LCM(11025,11040) = 3² × 5² × 7² × 2⁵ × 23¹
LCM(11025,11040) = 8114400