What is the Least Common Multiple of 99213 and 99217?

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 99213 and 99217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99213 and 99217, than apply into the LCM equation.

GCF(99213,99217) = 1
LCM(99213,99217) = ( 99213 × 99217) / 1
LCM(99213,99217) = 9843616221 / 1
LCM(99213,99217) = 9843616221

Least Common Multiple (LCM) of 99213 and 99217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99213 and 99217. First we will calculate the prime factors of 99213 and 99217.

Prime Factorization of 99213

Prime Factorization of 99217

Now multiplying the highest exponent prime factors to calculate the LCM of 99213 and 99217.

LCM(99213,99217) = 3¹ × 33071¹ × 47¹ × 2111¹
LCM(99213,99217) = 9843616221