What is the Least Common Multiple of 72314 and 72326?

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 72326 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 72326, than apply into the LCM equation.

GCF(72314,72326) = 2
LCM(72314,72326) = ( 72314 × 72326) / 2
LCM(72314,72326) = 5230182364 / 2
LCM(72314,72326) = 2615091182

Least Common Multiple (LCM) of 72314 and 72326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72314 and 72326. First we will calculate the prime factors of 72314 and 72326.

Prime Factorization of 72314

Prime Factorization of 72326

Now multiplying the highest exponent prime factors to calculate the LCM of 72314 and 72326.

LCM(72314,72326) = 2¹ × 11¹ × 19¹ × 173¹ × 29² × 43¹
LCM(72314,72326) = 2615091182