What is the Least Common Multiple of 11025 and 11032?

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 11032 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 11032, than apply into the LCM equation.

GCF(11025,11032) = 7
LCM(11025,11032) = ( 11025 × 11032) / 7
LCM(11025,11032) = 121627800 / 7
LCM(11025,11032) = 17375400

Least Common Multiple (LCM) of 11025 and 11032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11025 and 11032. First we will calculate the prime factors of 11025 and 11032.

Prime Factorization of 11025

Prime Factorization of 11032

Now multiplying the highest exponent prime factors to calculate the LCM of 11025 and 11032.

LCM(11025,11032) = 3² × 5² × 7² × 2³ × 197¹
LCM(11025,11032) = 17375400