What is the Least Common Multiple of 73311 and 73329?

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 73311 and 73329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73311 and 73329, than apply into the LCM equation.

GCF(73311,73329) = 3
LCM(73311,73329) = ( 73311 × 73329) / 3
LCM(73311,73329) = 5375822319 / 3
LCM(73311,73329) = 1791940773

Least Common Multiple (LCM) of 73311 and 73329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73311 and 73329. First we will calculate the prime factors of 73311 and 73329.

Prime Factorization of 73311

Prime Factorization of 73329

Now multiplying the highest exponent prime factors to calculate the LCM of 73311 and 73329.

LCM(73311,73329) = 3¹ × 7¹ × 3491¹ × 24443¹
LCM(73311,73329) = 1791940773