What is the Least Common Multiple of 11055 and 11075?

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 11055 and 11075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11055 and 11075, than apply into the LCM equation.

GCF(11055,11075) = 5
LCM(11055,11075) = ( 11055 × 11075) / 5
LCM(11055,11075) = 122434125 / 5
LCM(11055,11075) = 24486825

Least Common Multiple (LCM) of 11055 and 11075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11055 and 11075. First we will calculate the prime factors of 11055 and 11075.

Prime Factorization of 11055

Prime Factorization of 11075

Now multiplying the highest exponent prime factors to calculate the LCM of 11055 and 11075.

LCM(11055,11075) = 3¹ × 5² × 11¹ × 67¹ × 443¹
LCM(11055,11075) = 24486825