What is the Least Common Multiple of 54800 and 54814?

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 54800 and 54814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54800 and 54814, than apply into the LCM equation.

GCF(54800,54814) = 2
LCM(54800,54814) = ( 54800 × 54814) / 2
LCM(54800,54814) = 3003807200 / 2
LCM(54800,54814) = 1501903600

Least Common Multiple (LCM) of 54800 and 54814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54800 and 54814. First we will calculate the prime factors of 54800 and 54814.

Prime Factorization of 54800

Prime Factorization of 54814

Now multiplying the highest exponent prime factors to calculate the LCM of 54800 and 54814.

LCM(54800,54814) = 2⁴ × 5² × 137¹ × 27407¹
LCM(54800,54814) = 1501903600