What is the Least Common Multiple of 27825 and 27843?

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 27825 and 27843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27825 and 27843, than apply into the LCM equation.

GCF(27825,27843) = 3
LCM(27825,27843) = ( 27825 × 27843) / 3
LCM(27825,27843) = 774731475 / 3
LCM(27825,27843) = 258243825

Least Common Multiple (LCM) of 27825 and 27843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27825 and 27843. First we will calculate the prime factors of 27825 and 27843.

Prime Factorization of 27825

Prime Factorization of 27843

Now multiplying the highest exponent prime factors to calculate the LCM of 27825 and 27843.

LCM(27825,27843) = 3¹ × 5² × 7¹ × 53¹ × 9281¹
LCM(27825,27843) = 258243825