What is the Least Common Multiple of 13812 and 13824?

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 13812 and 13824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13812 and 13824, than apply into the LCM equation.

GCF(13812,13824) = 12
LCM(13812,13824) = ( 13812 × 13824) / 12
LCM(13812,13824) = 190937088 / 12
LCM(13812,13824) = 15911424

Least Common Multiple (LCM) of 13812 and 13824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13812 and 13824. First we will calculate the prime factors of 13812 and 13824.

Prime Factorization of 13812

Prime Factorization of 13824

Now multiplying the highest exponent prime factors to calculate the LCM of 13812 and 13824.

LCM(13812,13824) = 2⁹ × 3³ × 1151¹
LCM(13812,13824) = 15911424