What is the Least Common Multiple of 11025 and 11038?

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 11038 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 11038, than apply into the LCM equation.

GCF(11025,11038) = 1
LCM(11025,11038) = ( 11025 × 11038) / 1
LCM(11025,11038) = 121693950 / 1
LCM(11025,11038) = 121693950

Least Common Multiple (LCM) of 11025 and 11038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11025 and 11038. First we will calculate the prime factors of 11025 and 11038.

Prime Factorization of 11025

Prime Factorization of 11038

Now multiplying the highest exponent prime factors to calculate the LCM of 11025 and 11038.

LCM(11025,11038) = 3² × 5² × 7² × 2¹ × 5519¹
LCM(11025,11038) = 121693950