What is the Least Common Multiple of 9666 and 9675?

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 9666 and 9675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9666 and 9675, than apply into the LCM equation.

GCF(9666,9675) = 9
LCM(9666,9675) = ( 9666 × 9675) / 9
LCM(9666,9675) = 93518550 / 9
LCM(9666,9675) = 10390950

Least Common Multiple (LCM) of 9666 and 9675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9666 and 9675. First we will calculate the prime factors of 9666 and 9675.

Prime Factorization of 9666

Prime Factorization of 9675

Now multiplying the highest exponent prime factors to calculate the LCM of 9666 and 9675.

LCM(9666,9675) = 2¹ × 3³ × 179¹ × 5² × 43¹
LCM(9666,9675) = 10390950