What is the Least Common Multiple of 26768 and 26782?

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 26768 and 26782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26768 and 26782, than apply into the LCM equation.

GCF(26768,26782) = 14
LCM(26768,26782) = ( 26768 × 26782) / 14
LCM(26768,26782) = 716900576 / 14
LCM(26768,26782) = 51207184

Least Common Multiple (LCM) of 26768 and 26782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26768 and 26782. First we will calculate the prime factors of 26768 and 26782.

Prime Factorization of 26768

Prime Factorization of 26782

Now multiplying the highest exponent prime factors to calculate the LCM of 26768 and 26782.

LCM(26768,26782) = 2⁴ × 7¹ × 239¹ × 1913¹
LCM(26768,26782) = 51207184