What is the Least Common Multiple of 99846 and 99866?

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 99846 and 99866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99846 and 99866, than apply into the LCM equation.

GCF(99846,99866) = 2
LCM(99846,99866) = ( 99846 × 99866) / 2
LCM(99846,99866) = 9971220636 / 2
LCM(99846,99866) = 4985610318

Least Common Multiple (LCM) of 99846 and 99866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99846 and 99866. First we will calculate the prime factors of 99846 and 99866.

Prime Factorization of 99846

Prime Factorization of 99866

Now multiplying the highest exponent prime factors to calculate the LCM of 99846 and 99866.

LCM(99846,99866) = 2¹ × 3³ × 43² × 13¹ × 23¹ × 167¹
LCM(99846,99866) = 4985610318