What is the Least Common Multiple of 5075 and 5093?

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 5075 and 5093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5075 and 5093, than apply into the LCM equation.

GCF(5075,5093) = 1
LCM(5075,5093) = ( 5075 × 5093) / 1
LCM(5075,5093) = 25846975 / 1
LCM(5075,5093) = 25846975

Least Common Multiple (LCM) of 5075 and 5093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5075 and 5093. First we will calculate the prime factors of 5075 and 5093.

Prime Factorization of 5075

Prime Factorization of 5093

Now multiplying the highest exponent prime factors to calculate the LCM of 5075 and 5093.

LCM(5075,5093) = 5² × 7¹ × 29¹ × 11¹ × 463¹
LCM(5075,5093) = 25846975