What is the Least Common Multiple of 26724 and 26738?

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 26724 and 26738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26724 and 26738, than apply into the LCM equation.

GCF(26724,26738) = 2
LCM(26724,26738) = ( 26724 × 26738) / 2
LCM(26724,26738) = 714546312 / 2
LCM(26724,26738) = 357273156

Least Common Multiple (LCM) of 26724 and 26738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26724 and 26738. First we will calculate the prime factors of 26724 and 26738.

Prime Factorization of 26724

Prime Factorization of 26738

Now multiplying the highest exponent prime factors to calculate the LCM of 26724 and 26738.

LCM(26724,26738) = 2² × 3¹ × 17¹ × 131¹ × 29¹ × 461¹
LCM(26724,26738) = 357273156