What is the Least Common Multiple of 99357 and 99369?

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 99357 and 99369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99357 and 99369, than apply into the LCM equation.

GCF(99357,99369) = 3
LCM(99357,99369) = ( 99357 × 99369) / 3
LCM(99357,99369) = 9873005733 / 3
LCM(99357,99369) = 3291001911

Least Common Multiple (LCM) of 99357 and 99369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99357 and 99369. First we will calculate the prime factors of 99357 and 99369.

Prime Factorization of 99357

Prime Factorization of 99369

Now multiplying the highest exponent prime factors to calculate the LCM of 99357 and 99369.

LCM(99357,99369) = 3² × 33119¹ × 61¹ × 181¹
LCM(99357,99369) = 3291001911