What is the Least Common Multiple of 21209 and 21213?

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 21209 and 21213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21209 and 21213, than apply into the LCM equation.

GCF(21209,21213) = 1
LCM(21209,21213) = ( 21209 × 21213) / 1
LCM(21209,21213) = 449906517 / 1
LCM(21209,21213) = 449906517

Least Common Multiple (LCM) of 21209 and 21213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21209 and 21213. First we will calculate the prime factors of 21209 and 21213.

Prime Factorization of 21209

Prime Factorization of 21213

Now multiplying the highest exponent prime factors to calculate the LCM of 21209 and 21213.

LCM(21209,21213) = 127¹ × 167¹ × 3² × 2357¹
LCM(21209,21213) = 449906517