What is the Least Common Multiple of 73329 and 73341?

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 73329 and 73341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73329 and 73341, than apply into the LCM equation.

GCF(73329,73341) = 3
LCM(73329,73341) = ( 73329 × 73341) / 3
LCM(73329,73341) = 5378022189 / 3
LCM(73329,73341) = 1792674063

Least Common Multiple (LCM) of 73329 and 73341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73329 and 73341. First we will calculate the prime factors of 73329 and 73341.

Prime Factorization of 73329

Prime Factorization of 73341

Now multiplying the highest exponent prime factors to calculate the LCM of 73329 and 73341.

LCM(73329,73341) = 3² × 24443¹ × 29¹ × 281¹
LCM(73329,73341) = 1792674063