What is the Least Common Multiple of 26800 and 26814?

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 26800 and 26814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26800 and 26814, than apply into the LCM equation.

GCF(26800,26814) = 2
LCM(26800,26814) = ( 26800 × 26814) / 2
LCM(26800,26814) = 718615200 / 2
LCM(26800,26814) = 359307600

Least Common Multiple (LCM) of 26800 and 26814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26800 and 26814. First we will calculate the prime factors of 26800 and 26814.

Prime Factorization of 26800

Prime Factorization of 26814

Now multiplying the highest exponent prime factors to calculate the LCM of 26800 and 26814.

LCM(26800,26814) = 2⁴ × 5² × 67¹ × 3¹ × 41¹ × 109¹
LCM(26800,26814) = 359307600