What is the Least Common Multiple of 26768 and 26788?

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 26788 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 26788, than apply into the LCM equation.

GCF(26768,26788) = 4
LCM(26768,26788) = ( 26768 × 26788) / 4
LCM(26768,26788) = 717061184 / 4
LCM(26768,26788) = 179265296

Least Common Multiple (LCM) of 26768 and 26788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26768 and 26788. First we will calculate the prime factors of 26768 and 26788.

Prime Factorization of 26768

Prime Factorization of 26788

Now multiplying the highest exponent prime factors to calculate the LCM of 26768 and 26788.

LCM(26768,26788) = 2⁴ × 7¹ × 239¹ × 37¹ × 181¹
LCM(26768,26788) = 179265296