What is the Least Common Multiple of 15075 and 15091?

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 15075 and 15091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15075 and 15091, than apply into the LCM equation.

GCF(15075,15091) = 1
LCM(15075,15091) = ( 15075 × 15091) / 1
LCM(15075,15091) = 227496825 / 1
LCM(15075,15091) = 227496825

Least Common Multiple (LCM) of 15075 and 15091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15075 and 15091. First we will calculate the prime factors of 15075 and 15091.

Prime Factorization of 15075

Prime Factorization of 15091

Now multiplying the highest exponent prime factors to calculate the LCM of 15075 and 15091.

LCM(15075,15091) = 3² × 5² × 67¹ × 15091¹
LCM(15075,15091) = 227496825