What is the Least Common Multiple of 51306 and 51323?

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 51306 and 51323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51306 and 51323, than apply into the LCM equation.

GCF(51306,51323) = 17
LCM(51306,51323) = ( 51306 × 51323) / 17
LCM(51306,51323) = 2633177838 / 17
LCM(51306,51323) = 154892814

Least Common Multiple (LCM) of 51306 and 51323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51306 and 51323. First we will calculate the prime factors of 51306 and 51323.

Prime Factorization of 51306

Prime Factorization of 51323

Now multiplying the highest exponent prime factors to calculate the LCM of 51306 and 51323.

LCM(51306,51323) = 2¹ × 3¹ × 17¹ × 503¹ × 3019¹
LCM(51306,51323) = 154892814