What is the Least Common Multiple of 13902 and 13916?

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 13902 and 13916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13902 and 13916, than apply into the LCM equation.

GCF(13902,13916) = 14
LCM(13902,13916) = ( 13902 × 13916) / 14
LCM(13902,13916) = 193460232 / 14
LCM(13902,13916) = 13818588

Least Common Multiple (LCM) of 13902 and 13916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13902 and 13916. First we will calculate the prime factors of 13902 and 13916.

Prime Factorization of 13902

Prime Factorization of 13916

Now multiplying the highest exponent prime factors to calculate the LCM of 13902 and 13916.

LCM(13902,13916) = 2² × 3¹ × 7² × 331¹ × 71¹
LCM(13902,13916) = 13818588