What is the Least Common Multiple of 10199 and 10213?

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 10199 and 10213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10199 and 10213, than apply into the LCM equation.

GCF(10199,10213) = 7
LCM(10199,10213) = ( 10199 × 10213) / 7
LCM(10199,10213) = 104162387 / 7
LCM(10199,10213) = 14880341

Least Common Multiple (LCM) of 10199 and 10213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10199 and 10213. First we will calculate the prime factors of 10199 and 10213.

Prime Factorization of 10199

Prime Factorization of 10213

Now multiplying the highest exponent prime factors to calculate the LCM of 10199 and 10213.

LCM(10199,10213) = 7¹ × 31¹ × 47¹ × 1459¹
LCM(10199,10213) = 14880341