What is the Least Common Multiple of 21213 and 21223?

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 21213 and 21223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21213 and 21223, than apply into the LCM equation.

GCF(21213,21223) = 1
LCM(21213,21223) = ( 21213 × 21223) / 1
LCM(21213,21223) = 450203499 / 1
LCM(21213,21223) = 450203499

Least Common Multiple (LCM) of 21213 and 21223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21213 and 21223. First we will calculate the prime factors of 21213 and 21223.

Prime Factorization of 21213

Prime Factorization of 21223

Now multiplying the highest exponent prime factors to calculate the LCM of 21213 and 21223.

LCM(21213,21223) = 3² × 2357¹ × 19¹ × 1117¹
LCM(21213,21223) = 450203499