What is the Least Common Multiple of 11080 and 11095?

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 11080 and 11095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11080 and 11095, than apply into the LCM equation.

GCF(11080,11095) = 5
LCM(11080,11095) = ( 11080 × 11095) / 5
LCM(11080,11095) = 122932600 / 5
LCM(11080,11095) = 24586520

Least Common Multiple (LCM) of 11080 and 11095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11080 and 11095. First we will calculate the prime factors of 11080 and 11095.

Prime Factorization of 11080

Prime Factorization of 11095

Now multiplying the highest exponent prime factors to calculate the LCM of 11080 and 11095.

LCM(11080,11095) = 2³ × 5¹ × 277¹ × 7¹ × 317¹
LCM(11080,11095) = 24586520