What is the Least Common Multiple of 13794 and 13812?

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 13812 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 13812, than apply into the LCM equation.

GCF(13794,13812) = 6
LCM(13794,13812) = ( 13794 × 13812) / 6
LCM(13794,13812) = 190522728 / 6
LCM(13794,13812) = 31753788

Least Common Multiple (LCM) of 13794 and 13812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13794 and 13812. First we will calculate the prime factors of 13794 and 13812.

Prime Factorization of 13794

Prime Factorization of 13812

Now multiplying the highest exponent prime factors to calculate the LCM of 13794 and 13812.

LCM(13794,13812) = 2² × 3¹ × 11² × 19¹ × 1151¹
LCM(13794,13812) = 31753788