What is the Least Common Multiple of 26800 and 26806?

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 26806 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 26806, than apply into the LCM equation.

GCF(26800,26806) = 2
LCM(26800,26806) = ( 26800 × 26806) / 2
LCM(26800,26806) = 718400800 / 2
LCM(26800,26806) = 359200400

Least Common Multiple (LCM) of 26800 and 26806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26800 and 26806. First we will calculate the prime factors of 26800 and 26806.

Prime Factorization of 26800

Prime Factorization of 26806

Now multiplying the highest exponent prime factors to calculate the LCM of 26800 and 26806.

LCM(26800,26806) = 2⁴ × 5² × 67¹ × 13¹ × 1031¹
LCM(26800,26806) = 359200400