What is the Least Common Multiple of 21816 and 21828?

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 21816 and 21828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21816 and 21828, than apply into the LCM equation.

GCF(21816,21828) = 12
LCM(21816,21828) = ( 21816 × 21828) / 12
LCM(21816,21828) = 476199648 / 12
LCM(21816,21828) = 39683304

Least Common Multiple (LCM) of 21816 and 21828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21816 and 21828. First we will calculate the prime factors of 21816 and 21828.

Prime Factorization of 21816

Prime Factorization of 21828

Now multiplying the highest exponent prime factors to calculate the LCM of 21816 and 21828.

LCM(21816,21828) = 2³ × 3³ × 101¹ × 17¹ × 107¹
LCM(21816,21828) = 39683304