What is the Least Common Multiple of 8785 and 8805?

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 8785 and 8805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8785 and 8805, than apply into the LCM equation.

GCF(8785,8805) = 5
LCM(8785,8805) = ( 8785 × 8805) / 5
LCM(8785,8805) = 77351925 / 5
LCM(8785,8805) = 15470385

Least Common Multiple (LCM) of 8785 and 8805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8785 and 8805. First we will calculate the prime factors of 8785 and 8805.

Prime Factorization of 8785

Prime Factorization of 8805

Now multiplying the highest exponent prime factors to calculate the LCM of 8785 and 8805.

LCM(8785,8805) = 5¹ × 7¹ × 251¹ × 3¹ × 587¹
LCM(8785,8805) = 15470385