What is the Least Common Multiple of 9728 and 9734?

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 9734 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 9734, than apply into the LCM equation.

GCF(9728,9734) = 2
LCM(9728,9734) = ( 9728 × 9734) / 2
LCM(9728,9734) = 94692352 / 2
LCM(9728,9734) = 47346176

Least Common Multiple (LCM) of 9728 and 9734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9728 and 9734. First we will calculate the prime factors of 9728 and 9734.

Prime Factorization of 9728

Prime Factorization of 9734

Now multiplying the highest exponent prime factors to calculate the LCM of 9728 and 9734.

LCM(9728,9734) = 2⁹ × 19¹ × 31¹ × 157¹
LCM(9728,9734) = 47346176