What is the Least Common Multiple of 36855 and 36873?

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 36855 and 36873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36855 and 36873, than apply into the LCM equation.

GCF(36855,36873) = 9
LCM(36855,36873) = ( 36855 × 36873) / 9
LCM(36855,36873) = 1358954415 / 9
LCM(36855,36873) = 150994935

Least Common Multiple (LCM) of 36855 and 36873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36855 and 36873. First we will calculate the prime factors of 36855 and 36873.

Prime Factorization of 36855

Prime Factorization of 36873

Now multiplying the highest exponent prime factors to calculate the LCM of 36855 and 36873.

LCM(36855,36873) = 3⁴ × 5¹ × 7¹ × 13¹ × 17¹ × 241¹
LCM(36855,36873) = 150994935