What is the Least Common Multiple of 99834 and 99850?

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 99834 and 99850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99834 and 99850, than apply into the LCM equation.

GCF(99834,99850) = 2
LCM(99834,99850) = ( 99834 × 99850) / 2
LCM(99834,99850) = 9968424900 / 2
LCM(99834,99850) = 4984212450

Least Common Multiple (LCM) of 99834 and 99850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99834 and 99850. First we will calculate the prime factors of 99834 and 99850.

Prime Factorization of 99834

Prime Factorization of 99850

Now multiplying the highest exponent prime factors to calculate the LCM of 99834 and 99850.

LCM(99834,99850) = 2¹ × 3¹ × 7¹ × 2377¹ × 5² × 1997¹
LCM(99834,99850) = 4984212450