What is the Least Common Multiple of 13896 and 13901?

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 13901 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 13901, than apply into the LCM equation.

GCF(13896,13901) = 1
LCM(13896,13901) = ( 13896 × 13901) / 1
LCM(13896,13901) = 193168296 / 1
LCM(13896,13901) = 193168296

Least Common Multiple (LCM) of 13896 and 13901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13896 and 13901. First we will calculate the prime factors of 13896 and 13901.

Prime Factorization of 13896

Prime Factorization of 13901

Now multiplying the highest exponent prime factors to calculate the LCM of 13896 and 13901.

LCM(13896,13901) = 2³ × 3² × 193¹ × 13901¹
LCM(13896,13901) = 193168296