What is the Least Common Multiple of 13842 and 13854?

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 13842 and 13854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13842 and 13854, than apply into the LCM equation.

GCF(13842,13854) = 6
LCM(13842,13854) = ( 13842 × 13854) / 6
LCM(13842,13854) = 191767068 / 6
LCM(13842,13854) = 31961178

Least Common Multiple (LCM) of 13842 and 13854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13842 and 13854. First we will calculate the prime factors of 13842 and 13854.

Prime Factorization of 13842

Prime Factorization of 13854

Now multiplying the highest exponent prime factors to calculate the LCM of 13842 and 13854.

LCM(13842,13854) = 2¹ × 3² × 769¹ × 2309¹
LCM(13842,13854) = 31961178