What is the Least Common Multiple of 99785 and 99805?

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 99785 and 99805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99785 and 99805, than apply into the LCM equation.

GCF(99785,99805) = 5
LCM(99785,99805) = ( 99785 × 99805) / 5
LCM(99785,99805) = 9959041925 / 5
LCM(99785,99805) = 1991808385

Least Common Multiple (LCM) of 99785 and 99805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99785 and 99805. First we will calculate the prime factors of 99785 and 99805.

Prime Factorization of 99785

Prime Factorization of 99805

Now multiplying the highest exponent prime factors to calculate the LCM of 99785 and 99805.

LCM(99785,99805) = 5¹ × 7¹ × 2851¹ × 19961¹
LCM(99785,99805) = 1991808385