What is the Least Common Multiple of 36894 and 36905?

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 36894 and 36905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36894 and 36905, than apply into the LCM equation.

GCF(36894,36905) = 11
LCM(36894,36905) = ( 36894 × 36905) / 11
LCM(36894,36905) = 1361573070 / 11
LCM(36894,36905) = 123779370

Least Common Multiple (LCM) of 36894 and 36905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36894 and 36905. First we will calculate the prime factors of 36894 and 36905.

Prime Factorization of 36894

Prime Factorization of 36905

Now multiplying the highest exponent prime factors to calculate the LCM of 36894 and 36905.

LCM(36894,36905) = 2¹ × 3¹ × 11² × 13¹ × 43¹ × 5¹ × 61¹
LCM(36894,36905) = 123779370