What is the Least Common Multiple of 26838 and 26854?

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 26854 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 26854, than apply into the LCM equation.

GCF(26838,26854) = 2
LCM(26838,26854) = ( 26838 × 26854) / 2
LCM(26838,26854) = 720707652 / 2
LCM(26838,26854) = 360353826

Least Common Multiple (LCM) of 26838 and 26854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26838 and 26854. First we will calculate the prime factors of 26838 and 26854.

Prime Factorization of 26838

Prime Factorization of 26854

Now multiplying the highest exponent prime factors to calculate the LCM of 26838 and 26854.

LCM(26838,26854) = 2¹ × 3³ × 7¹ × 71¹ × 29¹ × 463¹
LCM(26838,26854) = 360353826