What is the Least Common Multiple of 9723 and 9738?

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 9723 and 9738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9723 and 9738, than apply into the LCM equation.

GCF(9723,9738) = 3
LCM(9723,9738) = ( 9723 × 9738) / 3
LCM(9723,9738) = 94682574 / 3
LCM(9723,9738) = 31560858

Least Common Multiple (LCM) of 9723 and 9738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9723 and 9738. First we will calculate the prime factors of 9723 and 9738.

Prime Factorization of 9723

Prime Factorization of 9738

Now multiplying the highest exponent prime factors to calculate the LCM of 9723 and 9738.

LCM(9723,9738) = 3² × 7¹ × 463¹ × 2¹ × 541¹
LCM(9723,9738) = 31560858