What is the Least Common Multiple of 56785 and 56805?

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 56785 and 56805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56785 and 56805, than apply into the LCM equation.

GCF(56785,56805) = 5
LCM(56785,56805) = ( 56785 × 56805) / 5
LCM(56785,56805) = 3225671925 / 5
LCM(56785,56805) = 645134385

Least Common Multiple (LCM) of 56785 and 56805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56785 and 56805. First we will calculate the prime factors of 56785 and 56805.

Prime Factorization of 56785

Prime Factorization of 56805

Now multiplying the highest exponent prime factors to calculate the LCM of 56785 and 56805.

LCM(56785,56805) = 5¹ × 41¹ × 277¹ × 3¹ × 7¹ × 541¹
LCM(56785,56805) = 645134385