What is the Least Common Multiple of 12816 and 12825?

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 12816 and 12825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12816 and 12825, than apply into the LCM equation.

GCF(12816,12825) = 9
LCM(12816,12825) = ( 12816 × 12825) / 9
LCM(12816,12825) = 164365200 / 9
LCM(12816,12825) = 18262800

Least Common Multiple (LCM) of 12816 and 12825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12816 and 12825. First we will calculate the prime factors of 12816 and 12825.

Prime Factorization of 12816

Prime Factorization of 12825

Now multiplying the highest exponent prime factors to calculate the LCM of 12816 and 12825.

LCM(12816,12825) = 2⁴ × 3³ × 89¹ × 5² × 19¹
LCM(12816,12825) = 18262800