What is the Least Common Multiple of 13854 and 13874?

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 13854 and 13874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13854 and 13874, than apply into the LCM equation.

GCF(13854,13874) = 2
LCM(13854,13874) = ( 13854 × 13874) / 2
LCM(13854,13874) = 192210396 / 2
LCM(13854,13874) = 96105198

Least Common Multiple (LCM) of 13854 and 13874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13854 and 13874. First we will calculate the prime factors of 13854 and 13874.

Prime Factorization of 13854

Prime Factorization of 13874

Now multiplying the highest exponent prime factors to calculate the LCM of 13854 and 13874.

LCM(13854,13874) = 2¹ × 3¹ × 2309¹ × 7¹ × 991¹
LCM(13854,13874) = 96105198