What is the Least Common Multiple of 36585 and 36603?

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 36603 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 36603, than apply into the LCM equation.

GCF(36585,36603) = 9
LCM(36585,36603) = ( 36585 × 36603) / 9
LCM(36585,36603) = 1339120755 / 9
LCM(36585,36603) = 148791195

Least Common Multiple (LCM) of 36585 and 36603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36585 and 36603. First we will calculate the prime factors of 36585 and 36603.

Prime Factorization of 36585

Prime Factorization of 36603

Now multiplying the highest exponent prime factors to calculate the LCM of 36585 and 36603.

LCM(36585,36603) = 3³ × 5¹ × 271¹ × 7² × 83¹
LCM(36585,36603) = 148791195