What is the Least Common Multiple of 72314 and 72323?

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 72314 and 72323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72314 and 72323, than apply into the LCM equation.

GCF(72314,72323) = 1
LCM(72314,72323) = ( 72314 × 72323) / 1
LCM(72314,72323) = 5229965422 / 1
LCM(72314,72323) = 5229965422

Least Common Multiple (LCM) of 72314 and 72323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72314 and 72323. First we will calculate the prime factors of 72314 and 72323.

Prime Factorization of 72314

Prime Factorization of 72323

Now multiplying the highest exponent prime factors to calculate the LCM of 72314 and 72323.

LCM(72314,72323) = 2¹ × 11¹ × 19¹ × 173¹ × 31¹ × 2333¹
LCM(72314,72323) = 5229965422