What is the Least Common Multiple of 27800 and 27814?

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 27800 and 27814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27800 and 27814, than apply into the LCM equation.

GCF(27800,27814) = 2
LCM(27800,27814) = ( 27800 × 27814) / 2
LCM(27800,27814) = 773229200 / 2
LCM(27800,27814) = 386614600

Least Common Multiple (LCM) of 27800 and 27814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27800 and 27814. First we will calculate the prime factors of 27800 and 27814.

Prime Factorization of 27800

Prime Factorization of 27814

Now multiplying the highest exponent prime factors to calculate the LCM of 27800 and 27814.

LCM(27800,27814) = 2³ × 5² × 139¹ × 13907¹
LCM(27800,27814) = 386614600