What is the Least Common Multiple of 99198 and 99213?

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 99198 and 99213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99198 and 99213, than apply into the LCM equation.

GCF(99198,99213) = 3
LCM(99198,99213) = ( 99198 × 99213) / 3
LCM(99198,99213) = 9841731174 / 3
LCM(99198,99213) = 3280577058

Least Common Multiple (LCM) of 99198 and 99213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99198 and 99213. First we will calculate the prime factors of 99198 and 99213.

Prime Factorization of 99198

Prime Factorization of 99213

Now multiplying the highest exponent prime factors to calculate the LCM of 99198 and 99213.

LCM(99198,99213) = 2¹ × 3³ × 11¹ × 167¹ × 33071¹
LCM(99198,99213) = 3280577058