What is the Least Common Multiple of 36267 and 36282?

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 36267 and 36282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36267 and 36282, than apply into the LCM equation.

GCF(36267,36282) = 3
LCM(36267,36282) = ( 36267 × 36282) / 3
LCM(36267,36282) = 1315839294 / 3
LCM(36267,36282) = 438613098

Least Common Multiple (LCM) of 36267 and 36282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36267 and 36282. First we will calculate the prime factors of 36267 and 36282.

Prime Factorization of 36267

Prime Factorization of 36282

Now multiplying the highest exponent prime factors to calculate the LCM of 36267 and 36282.

LCM(36267,36282) = 3¹ × 7¹ × 11¹ × 157¹ × 2¹ × 6047¹
LCM(36267,36282) = 438613098