What is the Least Common Multiple of 21191 and 21199?

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 21191 and 21199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21191 and 21199, than apply into the LCM equation.

GCF(21191,21199) = 1
LCM(21191,21199) = ( 21191 × 21199) / 1
LCM(21191,21199) = 449228009 / 1
LCM(21191,21199) = 449228009

Least Common Multiple (LCM) of 21191 and 21199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21191 and 21199. First we will calculate the prime factors of 21191 and 21199.

Prime Factorization of 21191

Prime Factorization of 21199

Now multiplying the highest exponent prime factors to calculate the LCM of 21191 and 21199.

LCM(21191,21199) = 21191¹ × 17¹ × 29¹ × 43¹
LCM(21191,21199) = 449228009