What is the Least Common Multiple of 36375 and 36384?

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 36375 and 36384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36375 and 36384, than apply into the LCM equation.

GCF(36375,36384) = 3
LCM(36375,36384) = ( 36375 × 36384) / 3
LCM(36375,36384) = 1323468000 / 3
LCM(36375,36384) = 441156000

Least Common Multiple (LCM) of 36375 and 36384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36375 and 36384. First we will calculate the prime factors of 36375 and 36384.

Prime Factorization of 36375

Prime Factorization of 36384

Now multiplying the highest exponent prime factors to calculate the LCM of 36375 and 36384.

LCM(36375,36384) = 3¹ × 5³ × 97¹ × 2⁵ × 379¹
LCM(36375,36384) = 441156000