What is the Least Common Multiple of 21217 and 21229?

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 21217 and 21229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21217 and 21229, than apply into the LCM equation.

GCF(21217,21229) = 1
LCM(21217,21229) = ( 21217 × 21229) / 1
LCM(21217,21229) = 450415693 / 1
LCM(21217,21229) = 450415693

Least Common Multiple (LCM) of 21217 and 21229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21217 and 21229. First we will calculate the prime factors of 21217 and 21229.

Prime Factorization of 21217

Prime Factorization of 21229

Now multiplying the highest exponent prime factors to calculate the LCM of 21217 and 21229.

LCM(21217,21229) = 7² × 433¹ × 13¹ × 23¹ × 71¹
LCM(21217,21229) = 450415693