What is the Least Common Multiple of 72816 and 72831?

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 72816 and 72831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72816 and 72831, than apply into the LCM equation.

GCF(72816,72831) = 3
LCM(72816,72831) = ( 72816 × 72831) / 3
LCM(72816,72831) = 5303262096 / 3
LCM(72816,72831) = 1767754032

Least Common Multiple (LCM) of 72816 and 72831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72816 and 72831. First we will calculate the prime factors of 72816 and 72831.

Prime Factorization of 72816

Prime Factorization of 72831

Now multiplying the highest exponent prime factors to calculate the LCM of 72816 and 72831.

LCM(72816,72831) = 2⁴ × 3¹ × 37¹ × 41¹ × 11¹ × 2207¹
LCM(72816,72831) = 1767754032