What is the Least Common Multiple of 9681 and 9699?

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 9681 and 9699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9681 and 9699, than apply into the LCM equation.

GCF(9681,9699) = 3
LCM(9681,9699) = ( 9681 × 9699) / 3
LCM(9681,9699) = 93896019 / 3
LCM(9681,9699) = 31298673

Least Common Multiple (LCM) of 9681 and 9699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9681 and 9699. First we will calculate the prime factors of 9681 and 9699.

Prime Factorization of 9681

Prime Factorization of 9699

Now multiplying the highest exponent prime factors to calculate the LCM of 9681 and 9699.

LCM(9681,9699) = 3¹ × 7¹ × 461¹ × 53¹ × 61¹
LCM(9681,9699) = 31298673