What is the Least Common Multiple of 73344 and 73353?

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 73344 and 73353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73344 and 73353, than apply into the LCM equation.

GCF(73344,73353) = 3
LCM(73344,73353) = ( 73344 × 73353) / 3
LCM(73344,73353) = 5380002432 / 3
LCM(73344,73353) = 1793334144

Least Common Multiple (LCM) of 73344 and 73353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73344 and 73353. First we will calculate the prime factors of 73344 and 73353.

Prime Factorization of 73344

Prime Factorization of 73353

Now multiplying the highest exponent prime factors to calculate the LCM of 73344 and 73353.

LCM(73344,73353) = 2⁷ × 3¹ × 191¹ × 7² × 499¹
LCM(73344,73353) = 1793334144