What is the Least Common Multiple of 99369 and 99377?

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 99369 and 99377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99369 and 99377, than apply into the LCM equation.

GCF(99369,99377) = 1
LCM(99369,99377) = ( 99369 × 99377) / 1
LCM(99369,99377) = 9874993113 / 1
LCM(99369,99377) = 9874993113

Least Common Multiple (LCM) of 99369 and 99377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99369 and 99377. First we will calculate the prime factors of 99369 and 99377.

Prime Factorization of 99369

Prime Factorization of 99377

Now multiplying the highest exponent prime factors to calculate the LCM of 99369 and 99377.

LCM(99369,99377) = 3² × 61¹ × 181¹ × 99377¹
LCM(99369,99377) = 9874993113