What is the Least Common Multiple of 99828 and 99846?

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 99828 and 99846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99828 and 99846, than apply into the LCM equation.

GCF(99828,99846) = 18
LCM(99828,99846) = ( 99828 × 99846) / 18
LCM(99828,99846) = 9967426488 / 18
LCM(99828,99846) = 553745916

Least Common Multiple (LCM) of 99828 and 99846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99828 and 99846. First we will calculate the prime factors of 99828 and 99846.

Prime Factorization of 99828

Prime Factorization of 99846

Now multiplying the highest exponent prime factors to calculate the LCM of 99828 and 99846.

LCM(99828,99846) = 2² × 3³ × 47¹ × 59¹ × 43²
LCM(99828,99846) = 553745916