What is the Least Common Multiple of 99169 and 99183?

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 99169 and 99183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99169 and 99183, than apply into the LCM equation.

GCF(99169,99183) = 7
LCM(99169,99183) = ( 99169 × 99183) / 7
LCM(99169,99183) = 9835878927 / 7
LCM(99169,99183) = 1405125561

Least Common Multiple (LCM) of 99169 and 99183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99169 and 99183. First we will calculate the prime factors of 99169 and 99183.

Prime Factorization of 99169

Prime Factorization of 99183

Now multiplying the highest exponent prime factors to calculate the LCM of 99169 and 99183.

LCM(99169,99183) = 7¹ × 31¹ × 457¹ × 3¹ × 4723¹
LCM(99169,99183) = 1405125561