What is the Least Common Multiple of 13794 and 13811?

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 13794 and 13811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13794 and 13811, than apply into the LCM equation.

GCF(13794,13811) = 1
LCM(13794,13811) = ( 13794 × 13811) / 1
LCM(13794,13811) = 190508934 / 1
LCM(13794,13811) = 190508934

Least Common Multiple (LCM) of 13794 and 13811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13794 and 13811. First we will calculate the prime factors of 13794 and 13811.

Prime Factorization of 13794

Prime Factorization of 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 13794 and 13811.

LCM(13794,13811) = 2¹ × 3¹ × 11² × 19¹ × 7¹ × 1973¹
LCM(13794,13811) = 190508934