What is the Least Common Multiple of 99203 and 99209?

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 99203 and 99209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99203 and 99209, than apply into the LCM equation.

GCF(99203,99209) = 1
LCM(99203,99209) = ( 99203 × 99209) / 1
LCM(99203,99209) = 9841830427 / 1
LCM(99203,99209) = 9841830427

Least Common Multiple (LCM) of 99203 and 99209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99203 and 99209. First we will calculate the prime factors of 99203 and 99209.

Prime Factorization of 99203

Prime Factorization of 99209

Now multiplying the highest exponent prime factors to calculate the LCM of 99203 and 99209.

LCM(99203,99209) = 13² × 587¹ × 11¹ × 29¹ × 311¹
LCM(99203,99209) = 9841830427