What is the Least Common Multiple of 36384 and 36396?

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 36384 and 36396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36384 and 36396, than apply into the LCM equation.

GCF(36384,36396) = 12
LCM(36384,36396) = ( 36384 × 36396) / 12
LCM(36384,36396) = 1324232064 / 12
LCM(36384,36396) = 110352672

Least Common Multiple (LCM) of 36384 and 36396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36384 and 36396. First we will calculate the prime factors of 36384 and 36396.

Prime Factorization of 36384

Prime Factorization of 36396

Now multiplying the highest exponent prime factors to calculate the LCM of 36384 and 36396.

LCM(36384,36396) = 2⁵ × 3³ × 379¹ × 337¹
LCM(36384,36396) = 110352672