What is the Least Common Multiple of 12825 and 12844?

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 12825 and 12844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12825 and 12844, than apply into the LCM equation.

GCF(12825,12844) = 19
LCM(12825,12844) = ( 12825 × 12844) / 19
LCM(12825,12844) = 164724300 / 19
LCM(12825,12844) = 8669700

Least Common Multiple (LCM) of 12825 and 12844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12825 and 12844. First we will calculate the prime factors of 12825 and 12844.

Prime Factorization of 12825

Prime Factorization of 12844

Now multiplying the highest exponent prime factors to calculate the LCM of 12825 and 12844.

LCM(12825,12844) = 3³ × 5² × 19¹ × 2² × 13²
LCM(12825,12844) = 8669700