What is the Least Common Multiple of 18785 and 18805?

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 18785 and 18805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18785 and 18805, than apply into the LCM equation.

GCF(18785,18805) = 5
LCM(18785,18805) = ( 18785 × 18805) / 5
LCM(18785,18805) = 353251925 / 5
LCM(18785,18805) = 70650385

Least Common Multiple (LCM) of 18785 and 18805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18785 and 18805. First we will calculate the prime factors of 18785 and 18805.

Prime Factorization of 18785

Prime Factorization of 18805

Now multiplying the highest exponent prime factors to calculate the LCM of 18785 and 18805.

LCM(18785,18805) = 5¹ × 13¹ × 17² × 3761¹
LCM(18785,18805) = 70650385