What is the Least Common Multiple of 13075 and 13091?

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 13091 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 13091, than apply into the LCM equation.

GCF(13075,13091) = 1
LCM(13075,13091) = ( 13075 × 13091) / 1
LCM(13075,13091) = 171164825 / 1
LCM(13075,13091) = 171164825

Least Common Multiple (LCM) of 13075 and 13091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13075 and 13091. First we will calculate the prime factors of 13075 and 13091.

Prime Factorization of 13075

Prime Factorization of 13091

Now multiplying the highest exponent prime factors to calculate the LCM of 13075 and 13091.

LCM(13075,13091) = 5² × 523¹ × 13¹ × 19¹ × 53¹
LCM(13075,13091) = 171164825