What is the Least Common Multiple of 27855 and 27870?

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 27855 and 27870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27855 and 27870, than apply into the LCM equation.

GCF(27855,27870) = 15
LCM(27855,27870) = ( 27855 × 27870) / 15
LCM(27855,27870) = 776318850 / 15
LCM(27855,27870) = 51754590

Least Common Multiple (LCM) of 27855 and 27870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27855 and 27870. First we will calculate the prime factors of 27855 and 27870.

Prime Factorization of 27855

Prime Factorization of 27870

Now multiplying the highest exponent prime factors to calculate the LCM of 27855 and 27870.

LCM(27855,27870) = 3² × 5¹ × 619¹ × 2¹ × 929¹
LCM(27855,27870) = 51754590