What is the Least Common Multiple of 99603 and 99617?

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 99603 and 99617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99603 and 99617, than apply into the LCM equation.

GCF(99603,99617) = 7
LCM(99603,99617) = ( 99603 × 99617) / 7
LCM(99603,99617) = 9922152051 / 7
LCM(99603,99617) = 1417450293

Least Common Multiple (LCM) of 99603 and 99617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99603 and 99617. First we will calculate the prime factors of 99603 and 99617.

Prime Factorization of 99603

Prime Factorization of 99617

Now multiplying the highest exponent prime factors to calculate the LCM of 99603 and 99617.

LCM(99603,99617) = 3³ × 7² × 17¹ × 31¹ × 19¹ × 107¹
LCM(99603,99617) = 1417450293