What is the Least Common Multiple of 26892 and 26898?

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 26892 and 26898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26892 and 26898, than apply into the LCM equation.

GCF(26892,26898) = 6
LCM(26892,26898) = ( 26892 × 26898) / 6
LCM(26892,26898) = 723341016 / 6
LCM(26892,26898) = 120556836

Least Common Multiple (LCM) of 26892 and 26898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26892 and 26898. First we will calculate the prime factors of 26892 and 26898.

Prime Factorization of 26892

Prime Factorization of 26898

Now multiplying the highest exponent prime factors to calculate the LCM of 26892 and 26898.

LCM(26892,26898) = 2² × 3⁴ × 83¹ × 4483¹
LCM(26892,26898) = 120556836