What is the Least Common Multiple of 26928 and 26946?

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 26928 and 26946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26928 and 26946, than apply into the LCM equation.

GCF(26928,26946) = 18
LCM(26928,26946) = ( 26928 × 26946) / 18
LCM(26928,26946) = 725601888 / 18
LCM(26928,26946) = 40311216

Least Common Multiple (LCM) of 26928 and 26946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26928 and 26946. First we will calculate the prime factors of 26928 and 26946.

Prime Factorization of 26928

Prime Factorization of 26946

Now multiplying the highest exponent prime factors to calculate the LCM of 26928 and 26946.

LCM(26928,26946) = 2⁴ × 3³ × 11¹ × 17¹ × 499¹
LCM(26928,26946) = 40311216