What is the Least Common Multiple of 26928 and 26938?

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 26928 and 26938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26928 and 26938, than apply into the LCM equation.

GCF(26928,26938) = 2
LCM(26928,26938) = ( 26928 × 26938) / 2
LCM(26928,26938) = 725386464 / 2
LCM(26928,26938) = 362693232

Least Common Multiple (LCM) of 26928 and 26938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26928 and 26938. First we will calculate the prime factors of 26928 and 26938.

Prime Factorization of 26928

Prime Factorization of 26938

Now multiplying the highest exponent prime factors to calculate the LCM of 26928 and 26938.

LCM(26928,26938) = 2⁴ × 3² × 11¹ × 17¹ × 13469¹
LCM(26928,26938) = 362693232