What is the Least Common Multiple of 36585 and 36604?

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 36585 and 36604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36585 and 36604, than apply into the LCM equation.

GCF(36585,36604) = 1
LCM(36585,36604) = ( 36585 × 36604) / 1
LCM(36585,36604) = 1339157340 / 1
LCM(36585,36604) = 1339157340

Least Common Multiple (LCM) of 36585 and 36604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36585 and 36604. First we will calculate the prime factors of 36585 and 36604.

Prime Factorization of 36585

Prime Factorization of 36604

Now multiplying the highest exponent prime factors to calculate the LCM of 36585 and 36604.

LCM(36585,36604) = 3³ × 5¹ × 271¹ × 2² × 9151¹
LCM(36585,36604) = 1339157340