What is the Least Common Multiple of 26768 and 26774?

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 26774 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 26774, than apply into the LCM equation.

GCF(26768,26774) = 2
LCM(26768,26774) = ( 26768 × 26774) / 2
LCM(26768,26774) = 716686432 / 2
LCM(26768,26774) = 358343216

Least Common Multiple (LCM) of 26768 and 26774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26768 and 26774. First we will calculate the prime factors of 26768 and 26774.

Prime Factorization of 26768

Prime Factorization of 26774

Now multiplying the highest exponent prime factors to calculate the LCM of 26768 and 26774.

LCM(26768,26774) = 2⁴ × 7¹ × 239¹ × 11¹ × 1217¹
LCM(26768,26774) = 358343216