What is the Least Common Multiple of 9849 and 9857?

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 9849 and 9857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9849 and 9857, than apply into the LCM equation.

GCF(9849,9857) = 1
LCM(9849,9857) = ( 9849 × 9857) / 1
LCM(9849,9857) = 97081593 / 1
LCM(9849,9857) = 97081593

Least Common Multiple (LCM) of 9849 and 9857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9849 and 9857. First we will calculate the prime factors of 9849 and 9857.

Prime Factorization of 9849

Prime Factorization of 9857

Now multiplying the highest exponent prime factors to calculate the LCM of 9849 and 9857.

LCM(9849,9857) = 3¹ × 7² × 67¹ × 9857¹
LCM(9849,9857) = 97081593