What is the Least Common Multiple of 51174 and 51193?

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 51174 and 51193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51174 and 51193, than apply into the LCM equation.

GCF(51174,51193) = 1
LCM(51174,51193) = ( 51174 × 51193) / 1
LCM(51174,51193) = 2619750582 / 1
LCM(51174,51193) = 2619750582

Least Common Multiple (LCM) of 51174 and 51193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51174 and 51193. First we will calculate the prime factors of 51174 and 51193.

Prime Factorization of 51174

Prime Factorization of 51193

Now multiplying the highest exponent prime factors to calculate the LCM of 51174 and 51193.

LCM(51174,51193) = 2¹ × 3² × 2843¹ × 51193¹
LCM(51174,51193) = 2619750582