What is the Least Common Multiple of 36376 and 36381?

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 36376 and 36381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36376 and 36381, than apply into the LCM equation.

GCF(36376,36381) = 1
LCM(36376,36381) = ( 36376 × 36381) / 1
LCM(36376,36381) = 1323395256 / 1
LCM(36376,36381) = 1323395256

Least Common Multiple (LCM) of 36376 and 36381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36376 and 36381. First we will calculate the prime factors of 36376 and 36381.

Prime Factorization of 36376

Prime Factorization of 36381

Now multiplying the highest exponent prime factors to calculate the LCM of 36376 and 36381.

LCM(36376,36381) = 2³ × 4547¹ × 3¹ × 67¹ × 181¹
LCM(36376,36381) = 1323395256