What is the Least Common Multiple of 20800 and 20814?

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 20800 and 20814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20800 and 20814, than apply into the LCM equation.

GCF(20800,20814) = 2
LCM(20800,20814) = ( 20800 × 20814) / 2
LCM(20800,20814) = 432931200 / 2
LCM(20800,20814) = 216465600

Least Common Multiple (LCM) of 20800 and 20814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20800 and 20814. First we will calculate the prime factors of 20800 and 20814.

Prime Factorization of 20800

Prime Factorization of 20814

Now multiplying the highest exponent prime factors to calculate the LCM of 20800 and 20814.

LCM(20800,20814) = 2⁶ × 5² × 13¹ × 3¹ × 3469¹
LCM(20800,20814) = 216465600