What is the Least Common Multiple of 72814 and 72819?

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 72814 and 72819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72814 and 72819, than apply into the LCM equation.

GCF(72814,72819) = 1
LCM(72814,72819) = ( 72814 × 72819) / 1
LCM(72814,72819) = 5302242666 / 1
LCM(72814,72819) = 5302242666

Least Common Multiple (LCM) of 72814 and 72819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72814 and 72819. First we will calculate the prime factors of 72814 and 72819.

Prime Factorization of 72814

Prime Factorization of 72819

Now multiplying the highest exponent prime factors to calculate the LCM of 72814 and 72819.

LCM(72814,72819) = 2¹ × 7² × 743¹ × 3⁴ × 29¹ × 31¹
LCM(72814,72819) = 5302242666