What is the Least Common Multiple of 21199 and 21217?

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 21199 and 21217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21199 and 21217, than apply into the LCM equation.

GCF(21199,21217) = 1
LCM(21199,21217) = ( 21199 × 21217) / 1
LCM(21199,21217) = 449779183 / 1
LCM(21199,21217) = 449779183

Least Common Multiple (LCM) of 21199 and 21217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21199 and 21217. First we will calculate the prime factors of 21199 and 21217.

Prime Factorization of 21199

Prime Factorization of 21217

Now multiplying the highest exponent prime factors to calculate the LCM of 21199 and 21217.

LCM(21199,21217) = 17¹ × 29¹ × 43¹ × 7² × 433¹
LCM(21199,21217) = 449779183