What is the Least Common Multiple of 21319 and 21333?

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 21319 and 21333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21319 and 21333, than apply into the LCM equation.

GCF(21319,21333) = 1
LCM(21319,21333) = ( 21319 × 21333) / 1
LCM(21319,21333) = 454798227 / 1
LCM(21319,21333) = 454798227

Least Common Multiple (LCM) of 21319 and 21333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21319 and 21333. First we will calculate the prime factors of 21319 and 21333.

Prime Factorization of 21319

Prime Factorization of 21333

Now multiplying the highest exponent prime factors to calculate the LCM of 21319 and 21333.

LCM(21319,21333) = 21319¹ × 3¹ × 13¹ × 547¹
LCM(21319,21333) = 454798227