What is the Least Common Multiple of 9729 and 9741?

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 9729 and 9741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9729 and 9741, than apply into the LCM equation.

GCF(9729,9741) = 3
LCM(9729,9741) = ( 9729 × 9741) / 3
LCM(9729,9741) = 94770189 / 3
LCM(9729,9741) = 31590063

Least Common Multiple (LCM) of 9729 and 9741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9729 and 9741. First we will calculate the prime factors of 9729 and 9741.

Prime Factorization of 9729

Prime Factorization of 9741

Now multiplying the highest exponent prime factors to calculate the LCM of 9729 and 9741.

LCM(9729,9741) = 3² × 23¹ × 47¹ × 17¹ × 191¹
LCM(9729,9741) = 31590063