What is the Least Common Multiple of 26856 and 26874?

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 26856 and 26874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26856 and 26874, than apply into the LCM equation.

GCF(26856,26874) = 18
LCM(26856,26874) = ( 26856 × 26874) / 18
LCM(26856,26874) = 721728144 / 18
LCM(26856,26874) = 40096008

Least Common Multiple (LCM) of 26856 and 26874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26856 and 26874. First we will calculate the prime factors of 26856 and 26874.

Prime Factorization of 26856

Prime Factorization of 26874

Now multiplying the highest exponent prime factors to calculate the LCM of 26856 and 26874.

LCM(26856,26874) = 2³ × 3² × 373¹ × 1493¹
LCM(26856,26874) = 40096008