What is the Least Common Multiple of 13812 and 13827?

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 13827 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 13827, than apply into the LCM equation.

GCF(13812,13827) = 3
LCM(13812,13827) = ( 13812 × 13827) / 3
LCM(13812,13827) = 190978524 / 3
LCM(13812,13827) = 63659508

Least Common Multiple (LCM) of 13812 and 13827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13812 and 13827. First we will calculate the prime factors of 13812 and 13827.

Prime Factorization of 13812

Prime Factorization of 13827

Now multiplying the highest exponent prime factors to calculate the LCM of 13812 and 13827.

LCM(13812,13827) = 2² × 3¹ × 1151¹ × 11¹ × 419¹
LCM(13812,13827) = 63659508