What is the Least Common Multiple of 13896 and 13902?

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 13896 and 13902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13896 and 13902, than apply into the LCM equation.

GCF(13896,13902) = 6
LCM(13896,13902) = ( 13896 × 13902) / 6
LCM(13896,13902) = 193182192 / 6
LCM(13896,13902) = 32197032

Least Common Multiple (LCM) of 13896 and 13902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13896 and 13902. First we will calculate the prime factors of 13896 and 13902.

Prime Factorization of 13896

Prime Factorization of 13902

Now multiplying the highest exponent prime factors to calculate the LCM of 13896 and 13902.

LCM(13896,13902) = 2³ × 3² × 193¹ × 7¹ × 331¹
LCM(13896,13902) = 32197032