What is the Least Common Multiple of 13801 and 13814?

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 13801 and 13814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13801 and 13814, than apply into the LCM equation.

GCF(13801,13814) = 1
LCM(13801,13814) = ( 13801 × 13814) / 1
LCM(13801,13814) = 190647014 / 1
LCM(13801,13814) = 190647014

Least Common Multiple (LCM) of 13801 and 13814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13801 and 13814. First we will calculate the prime factors of 13801 and 13814.

Prime Factorization of 13801

Prime Factorization of 13814

Now multiplying the highest exponent prime factors to calculate the LCM of 13801 and 13814.

LCM(13801,13814) = 37¹ × 373¹ × 2¹ × 6907¹
LCM(13801,13814) = 190647014