What is the Least Common Multiple of 73443 and 73449?

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 73443 and 73449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73443 and 73449, than apply into the LCM equation.

GCF(73443,73449) = 3
LCM(73443,73449) = ( 73443 × 73449) / 3
LCM(73443,73449) = 5394314907 / 3
LCM(73443,73449) = 1798104969

Least Common Multiple (LCM) of 73443 and 73449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73443 and 73449. First we will calculate the prime factors of 73443 and 73449.

Prime Factorization of 73443

Prime Factorization of 73449

Now multiplying the highest exponent prime factors to calculate the LCM of 73443 and 73449.

LCM(73443,73449) = 3² × 24481¹ × 8161¹
LCM(73443,73449) = 1798104969