What is the Least Common Multiple of 26914 and 26928?

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 26914 and 26928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26914 and 26928, than apply into the LCM equation.

GCF(26914,26928) = 2
LCM(26914,26928) = ( 26914 × 26928) / 2
LCM(26914,26928) = 724740192 / 2
LCM(26914,26928) = 362370096

Least Common Multiple (LCM) of 26914 and 26928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26914 and 26928. First we will calculate the prime factors of 26914 and 26928.

Prime Factorization of 26914

Prime Factorization of 26928

Now multiplying the highest exponent prime factors to calculate the LCM of 26914 and 26928.

LCM(26914,26928) = 2⁴ × 13457¹ × 3² × 11¹ × 17¹
LCM(26914,26928) = 362370096