What is the Least Common Multiple of 27807 and 27825?

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 27807 and 27825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27807 and 27825, than apply into the LCM equation.

GCF(27807,27825) = 3
LCM(27807,27825) = ( 27807 × 27825) / 3
LCM(27807,27825) = 773729775 / 3
LCM(27807,27825) = 257909925

Least Common Multiple (LCM) of 27807 and 27825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27807 and 27825. First we will calculate the prime factors of 27807 and 27825.

Prime Factorization of 27807

Prime Factorization of 27825

Now multiplying the highest exponent prime factors to calculate the LCM of 27807 and 27825.

LCM(27807,27825) = 3¹ × 13¹ × 23¹ × 31¹ × 5² × 7¹ × 53¹
LCM(27807,27825) = 257909925