What is the Least Common Multiple of 99858 and 99868?

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 99858 and 99868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99858 and 99868, than apply into the LCM equation.

GCF(99858,99868) = 2
LCM(99858,99868) = ( 99858 × 99868) / 2
LCM(99858,99868) = 9972618744 / 2
LCM(99858,99868) = 4986309372

Least Common Multiple (LCM) of 99858 and 99868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99858 and 99868. First we will calculate the prime factors of 99858 and 99868.

Prime Factorization of 99858

Prime Factorization of 99868

Now multiplying the highest exponent prime factors to calculate the LCM of 99858 and 99868.

LCM(99858,99868) = 2² × 3¹ × 11¹ × 17¹ × 89¹ × 24967¹
LCM(99858,99868) = 4986309372