What is the Least Common Multiple of 9585 and 9603?

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 9585 and 9603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9585 and 9603, than apply into the LCM equation.

GCF(9585,9603) = 9
LCM(9585,9603) = ( 9585 × 9603) / 9
LCM(9585,9603) = 92044755 / 9
LCM(9585,9603) = 10227195

Least Common Multiple (LCM) of 9585 and 9603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9585 and 9603. First we will calculate the prime factors of 9585 and 9603.

Prime Factorization of 9585

Prime Factorization of 9603

Now multiplying the highest exponent prime factors to calculate the LCM of 9585 and 9603.

LCM(9585,9603) = 3³ × 5¹ × 71¹ × 11¹ × 97¹
LCM(9585,9603) = 10227195