What is the Least Common Multiple of 36315 and 36329?

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 36315 and 36329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36315 and 36329, than apply into the LCM equation.

GCF(36315,36329) = 1
LCM(36315,36329) = ( 36315 × 36329) / 1
LCM(36315,36329) = 1319287635 / 1
LCM(36315,36329) = 1319287635

Least Common Multiple (LCM) of 36315 and 36329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36315 and 36329. First we will calculate the prime factors of 36315 and 36329.

Prime Factorization of 36315

Prime Factorization of 36329

Now multiplying the highest exponent prime factors to calculate the LCM of 36315 and 36329.

LCM(36315,36329) = 3³ × 5¹ × 269¹ × 17¹ × 2137¹
LCM(36315,36329) = 1319287635