What is the Least Common Multiple of 27849 and 27855?

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 27849 and 27855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27849 and 27855, than apply into the LCM equation.

GCF(27849,27855) = 3
LCM(27849,27855) = ( 27849 × 27855) / 3
LCM(27849,27855) = 775733895 / 3
LCM(27849,27855) = 258577965

Least Common Multiple (LCM) of 27849 and 27855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27849 and 27855. First we will calculate the prime factors of 27849 and 27855.

Prime Factorization of 27849

Prime Factorization of 27855

Now multiplying the highest exponent prime factors to calculate the LCM of 27849 and 27855.

LCM(27849,27855) = 3² × 9283¹ × 5¹ × 619¹
LCM(27849,27855) = 258577965