What is the Least Common Multiple of 9827 and 9844?

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 9827 and 9844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9827 and 9844, than apply into the LCM equation.

GCF(9827,9844) = 1
LCM(9827,9844) = ( 9827 × 9844) / 1
LCM(9827,9844) = 96736988 / 1
LCM(9827,9844) = 96736988

Least Common Multiple (LCM) of 9827 and 9844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9827 and 9844. First we will calculate the prime factors of 9827 and 9844.

Prime Factorization of 9827

Prime Factorization of 9844

Now multiplying the highest exponent prime factors to calculate the LCM of 9827 and 9844.

LCM(9827,9844) = 31¹ × 317¹ × 2² × 23¹ × 107¹
LCM(9827,9844) = 96736988