What is the Least Common Multiple of 9666 and 9681?

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 9681 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 9681, than apply into the LCM equation.

GCF(9666,9681) = 3
LCM(9666,9681) = ( 9666 × 9681) / 3
LCM(9666,9681) = 93576546 / 3
LCM(9666,9681) = 31192182

Least Common Multiple (LCM) of 9666 and 9681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9666 and 9681. First we will calculate the prime factors of 9666 and 9681.

Prime Factorization of 9666

Prime Factorization of 9681

Now multiplying the highest exponent prime factors to calculate the LCM of 9666 and 9681.

LCM(9666,9681) = 2¹ × 3³ × 179¹ × 7¹ × 461¹
LCM(9666,9681) = 31192182