What is the Least Common Multiple of 36546 and 36555?

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 36546 and 36555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36546 and 36555, than apply into the LCM equation.

GCF(36546,36555) = 3
LCM(36546,36555) = ( 36546 × 36555) / 3
LCM(36546,36555) = 1335939030 / 3
LCM(36546,36555) = 445313010

Least Common Multiple (LCM) of 36546 and 36555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36546 and 36555. First we will calculate the prime factors of 36546 and 36555.

Prime Factorization of 36546

Prime Factorization of 36555

Now multiplying the highest exponent prime factors to calculate the LCM of 36546 and 36555.

LCM(36546,36555) = 2¹ × 3¹ × 6091¹ × 5¹ × 2437¹
LCM(36546,36555) = 445313010