What is the Least Common Multiple of 75173 and 75187?

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 75173 and 75187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75173 and 75187, than apply into the LCM equation.

GCF(75173,75187) = 7
LCM(75173,75187) = ( 75173 × 75187) / 7
LCM(75173,75187) = 5652032351 / 7
LCM(75173,75187) = 807433193

Least Common Multiple (LCM) of 75173 and 75187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75173 and 75187. First we will calculate the prime factors of 75173 and 75187.

Prime Factorization of 75173

Prime Factorization of 75187

Now multiplying the highest exponent prime factors to calculate the LCM of 75173 and 75187.

LCM(75173,75187) = 7¹ × 10739¹ × 23¹ × 467¹
LCM(75173,75187) = 807433193