What is the Least Common Multiple of 9728 and 9748?

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 9728 and 9748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9728 and 9748, than apply into the LCM equation.

GCF(9728,9748) = 4
LCM(9728,9748) = ( 9728 × 9748) / 4
LCM(9728,9748) = 94828544 / 4
LCM(9728,9748) = 23707136

Least Common Multiple (LCM) of 9728 and 9748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9728 and 9748. First we will calculate the prime factors of 9728 and 9748.

Prime Factorization of 9728

Prime Factorization of 9748

Now multiplying the highest exponent prime factors to calculate the LCM of 9728 and 9748.

LCM(9728,9748) = 2⁹ × 19¹ × 2437¹
LCM(9728,9748) = 23707136