What is the Least Common Multiple of 99850 and 99855?

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 99850 and 99855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99850 and 99855, than apply into the LCM equation.

GCF(99850,99855) = 5
LCM(99850,99855) = ( 99850 × 99855) / 5
LCM(99850,99855) = 9970521750 / 5
LCM(99850,99855) = 1994104350

Least Common Multiple (LCM) of 99850 and 99855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99850 and 99855. First we will calculate the prime factors of 99850 and 99855.

Prime Factorization of 99850

Prime Factorization of 99855

Now multiplying the highest exponent prime factors to calculate the LCM of 99850 and 99855.

LCM(99850,99855) = 2¹ × 5² × 1997¹ × 3² × 7¹ × 317¹
LCM(99850,99855) = 1994104350