What is the Least Common Multiple of 90198 and 90213?

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 90198 and 90213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90198 and 90213, than apply into the LCM equation.

GCF(90198,90213) = 3
LCM(90198,90213) = ( 90198 × 90213) / 3
LCM(90198,90213) = 8137032174 / 3
LCM(90198,90213) = 2712344058

Least Common Multiple (LCM) of 90198 and 90213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90198 and 90213. First we will calculate the prime factors of 90198 and 90213.

Prime Factorization of 90198

Prime Factorization of 90213

Now multiplying the highest exponent prime factors to calculate the LCM of 90198 and 90213.

LCM(90198,90213) = 2¹ × 3² × 5011¹ × 30071¹
LCM(90198,90213) = 2712344058