What is the Least Common Multiple of 36865 and 36878?

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 36865 and 36878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36865 and 36878, than apply into the LCM equation.

GCF(36865,36878) = 1
LCM(36865,36878) = ( 36865 × 36878) / 1
LCM(36865,36878) = 1359507470 / 1
LCM(36865,36878) = 1359507470

Least Common Multiple (LCM) of 36865 and 36878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36865 and 36878. First we will calculate the prime factors of 36865 and 36878.

Prime Factorization of 36865

Prime Factorization of 36878

Now multiplying the highest exponent prime factors to calculate the LCM of 36865 and 36878.

LCM(36865,36878) = 5¹ × 73¹ × 101¹ × 2¹ × 18439¹
LCM(36865,36878) = 1359507470