What is the Least Common Multiple of 36315 and 36333?

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 36315 and 36333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36315 and 36333, than apply into the LCM equation.

GCF(36315,36333) = 9
LCM(36315,36333) = ( 36315 × 36333) / 9
LCM(36315,36333) = 1319432895 / 9
LCM(36315,36333) = 146603655

Least Common Multiple (LCM) of 36315 and 36333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36315 and 36333. First we will calculate the prime factors of 36315 and 36333.

Prime Factorization of 36315

Prime Factorization of 36333

Now multiplying the highest exponent prime factors to calculate the LCM of 36315 and 36333.

LCM(36315,36333) = 3³ × 5¹ × 269¹ × 11¹ × 367¹
LCM(36315,36333) = 146603655