What is the Least Common Multiple of 99850 and 99864?

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 99864 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 99864, than apply into the LCM equation.

GCF(99850,99864) = 2
LCM(99850,99864) = ( 99850 × 99864) / 2
LCM(99850,99864) = 9971420400 / 2
LCM(99850,99864) = 4985710200

Least Common Multiple (LCM) of 99850 and 99864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99850 and 99864. First we will calculate the prime factors of 99850 and 99864.

Prime Factorization of 99850

Prime Factorization of 99864

Now multiplying the highest exponent prime factors to calculate the LCM of 99850 and 99864.

LCM(99850,99864) = 2³ × 5² × 1997¹ × 3² × 19¹ × 73¹
LCM(99850,99864) = 4985710200