What is the Least Common Multiple of 11075 and 11087?

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 11075 and 11087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11075 and 11087, than apply into the LCM equation.

GCF(11075,11087) = 1
LCM(11075,11087) = ( 11075 × 11087) / 1
LCM(11075,11087) = 122788525 / 1
LCM(11075,11087) = 122788525

Least Common Multiple (LCM) of 11075 and 11087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11075 and 11087. First we will calculate the prime factors of 11075 and 11087.

Prime Factorization of 11075

Prime Factorization of 11087

Now multiplying the highest exponent prime factors to calculate the LCM of 11075 and 11087.

LCM(11075,11087) = 5² × 443¹ × 11087¹
LCM(11075,11087) = 122788525