What is the Least Common Multiple of 93333 and 93351?

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 93333 and 93351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93333 and 93351, than apply into the LCM equation.

GCF(93333,93351) = 3
LCM(93333,93351) = ( 93333 × 93351) / 3
LCM(93333,93351) = 8712728883 / 3
LCM(93333,93351) = 2904242961

Least Common Multiple (LCM) of 93333 and 93351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93333 and 93351. First we will calculate the prime factors of 93333 and 93351.

Prime Factorization of 93333

Prime Factorization of 93351

Now multiplying the highest exponent prime factors to calculate the LCM of 93333 and 93351.

LCM(93333,93351) = 3¹ × 53¹ × 587¹ × 29² × 37¹
LCM(93333,93351) = 2904242961