What is the Least Common Multiple of 99603 and 99612?

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 99612 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 99612, than apply into the LCM equation.

GCF(99603,99612) = 9
LCM(99603,99612) = ( 99603 × 99612) / 9
LCM(99603,99612) = 9921654036 / 9
LCM(99603,99612) = 1102406004

Least Common Multiple (LCM) of 99603 and 99612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99603 and 99612. First we will calculate the prime factors of 99603 and 99612.

Prime Factorization of 99603

Prime Factorization of 99612

Now multiplying the highest exponent prime factors to calculate the LCM of 99603 and 99612.

LCM(99603,99612) = 3³ × 7¹ × 17¹ × 31¹ × 2² × 2767¹
LCM(99603,99612) = 1102406004