What is the Least Common Multiple of 36285 and 36291?

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 36285 and 36291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36285 and 36291, than apply into the LCM equation.

GCF(36285,36291) = 3
LCM(36285,36291) = ( 36285 × 36291) / 3
LCM(36285,36291) = 1316818935 / 3
LCM(36285,36291) = 438939645

Least Common Multiple (LCM) of 36285 and 36291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36285 and 36291. First we will calculate the prime factors of 36285 and 36291.

Prime Factorization of 36285

Prime Factorization of 36291

Now multiplying the highest exponent prime factors to calculate the LCM of 36285 and 36291.

LCM(36285,36291) = 3¹ × 5¹ × 41¹ × 59¹ × 12097¹
LCM(36285,36291) = 438939645