What is the Least Common Multiple of 26838 and 26856?

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 26838 and 26856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26838 and 26856, than apply into the LCM equation.

GCF(26838,26856) = 18
LCM(26838,26856) = ( 26838 × 26856) / 18
LCM(26838,26856) = 720761328 / 18
LCM(26838,26856) = 40042296

Least Common Multiple (LCM) of 26838 and 26856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26838 and 26856. First we will calculate the prime factors of 26838 and 26856.

Prime Factorization of 26838

Prime Factorization of 26856

Now multiplying the highest exponent prime factors to calculate the LCM of 26838 and 26856.

LCM(26838,26856) = 2³ × 3³ × 7¹ × 71¹ × 373¹
LCM(26838,26856) = 40042296