What is the Least Common Multiple of 9784 and 9798?

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 9784 and 9798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9784 and 9798, than apply into the LCM equation.

GCF(9784,9798) = 2
LCM(9784,9798) = ( 9784 × 9798) / 2
LCM(9784,9798) = 95863632 / 2
LCM(9784,9798) = 47931816

Least Common Multiple (LCM) of 9784 and 9798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9784 and 9798. First we will calculate the prime factors of 9784 and 9798.

Prime Factorization of 9784

Prime Factorization of 9798

Now multiplying the highest exponent prime factors to calculate the LCM of 9784 and 9798.

LCM(9784,9798) = 2³ × 1223¹ × 3¹ × 23¹ × 71¹
LCM(9784,9798) = 47931816