What is the Least Common Multiple of 9844 and 9851?

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 9844 and 9851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9844 and 9851, than apply into the LCM equation.

GCF(9844,9851) = 1
LCM(9844,9851) = ( 9844 × 9851) / 1
LCM(9844,9851) = 96973244 / 1
LCM(9844,9851) = 96973244

Least Common Multiple (LCM) of 9844 and 9851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9844 and 9851. First we will calculate the prime factors of 9844 and 9851.

Prime Factorization of 9844

Prime Factorization of 9851

Now multiplying the highest exponent prime factors to calculate the LCM of 9844 and 9851.

LCM(9844,9851) = 2² × 23¹ × 107¹ × 9851¹
LCM(9844,9851) = 96973244