What is the Least Common Multiple of 36249 and 36264?

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 36249 and 36264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36249 and 36264, than apply into the LCM equation.

GCF(36249,36264) = 3
LCM(36249,36264) = ( 36249 × 36264) / 3
LCM(36249,36264) = 1314533736 / 3
LCM(36249,36264) = 438177912

Least Common Multiple (LCM) of 36249 and 36264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36249 and 36264. First we will calculate the prime factors of 36249 and 36264.

Prime Factorization of 36249

Prime Factorization of 36264

Now multiplying the highest exponent prime factors to calculate the LCM of 36249 and 36264.

LCM(36249,36264) = 3¹ × 43¹ × 281¹ × 2³ × 1511¹
LCM(36249,36264) = 438177912