What is the Least Common Multiple of 27800 and 27806?

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 27806 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 27806, than apply into the LCM equation.

GCF(27800,27806) = 2
LCM(27800,27806) = ( 27800 × 27806) / 2
LCM(27800,27806) = 773006800 / 2
LCM(27800,27806) = 386503400

Least Common Multiple (LCM) of 27800 and 27806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27800 and 27806. First we will calculate the prime factors of 27800 and 27806.

Prime Factorization of 27800

Prime Factorization of 27806

Now multiplying the highest exponent prime factors to calculate the LCM of 27800 and 27806.

LCM(27800,27806) = 2³ × 5² × 139¹ × 13903¹
LCM(27800,27806) = 386503400