What is the Least Common Multiple of 36333 and 36345?

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 36333 and 36345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36333 and 36345, than apply into the LCM equation.

GCF(36333,36345) = 3
LCM(36333,36345) = ( 36333 × 36345) / 3
LCM(36333,36345) = 1320522885 / 3
LCM(36333,36345) = 440174295

Least Common Multiple (LCM) of 36333 and 36345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36333 and 36345. First we will calculate the prime factors of 36333 and 36345.

Prime Factorization of 36333

Prime Factorization of 36345

Now multiplying the highest exponent prime factors to calculate the LCM of 36333 and 36345.

LCM(36333,36345) = 3² × 11¹ × 367¹ × 5¹ × 2423¹
LCM(36333,36345) = 440174295