What is the Least Common Multiple of 56814 and 56826?

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 56814 and 56826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56814 and 56826, than apply into the LCM equation.

GCF(56814,56826) = 6
LCM(56814,56826) = ( 56814 × 56826) / 6
LCM(56814,56826) = 3228512364 / 6
LCM(56814,56826) = 538085394

Least Common Multiple (LCM) of 56814 and 56826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56814 and 56826. First we will calculate the prime factors of 56814 and 56826.

Prime Factorization of 56814

Prime Factorization of 56826

Now multiplying the highest exponent prime factors to calculate the LCM of 56814 and 56826.

LCM(56814,56826) = 2¹ × 3² × 17¹ × 557¹ × 7¹ × 11¹ × 41¹
LCM(56814,56826) = 538085394