What is the Least Common Multiple of 13075 and 13081?

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 13075 and 13081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13075 and 13081, than apply into the LCM equation.

GCF(13075,13081) = 1
LCM(13075,13081) = ( 13075 × 13081) / 1
LCM(13075,13081) = 171034075 / 1
LCM(13075,13081) = 171034075

Least Common Multiple (LCM) of 13075 and 13081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13075 and 13081. First we will calculate the prime factors of 13075 and 13081.

Prime Factorization of 13075

Prime Factorization of 13081

Now multiplying the highest exponent prime factors to calculate the LCM of 13075 and 13081.

LCM(13075,13081) = 5² × 523¹ × 103¹ × 127¹
LCM(13075,13081) = 171034075