What is the Least Common Multiple of 9838 and 9854?

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 9838 and 9854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9838 and 9854, than apply into the LCM equation.

GCF(9838,9854) = 2
LCM(9838,9854) = ( 9838 × 9854) / 2
LCM(9838,9854) = 96943652 / 2
LCM(9838,9854) = 48471826

Least Common Multiple (LCM) of 9838 and 9854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9838 and 9854. First we will calculate the prime factors of 9838 and 9854.

Prime Factorization of 9838

Prime Factorization of 9854

Now multiplying the highest exponent prime factors to calculate the LCM of 9838 and 9854.

LCM(9838,9854) = 2¹ × 4919¹ × 13¹ × 379¹
LCM(9838,9854) = 48471826