What is the Least Common Multiple of 21409 and 21413?

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 21409 and 21413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21409 and 21413, than apply into the LCM equation.

GCF(21409,21413) = 1
LCM(21409,21413) = ( 21409 × 21413) / 1
LCM(21409,21413) = 458430917 / 1
LCM(21409,21413) = 458430917

Least Common Multiple (LCM) of 21409 and 21413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21409 and 21413. First we will calculate the prime factors of 21409 and 21413.

Prime Factorization of 21409

Prime Factorization of 21413

Now multiplying the highest exponent prime factors to calculate the LCM of 21409 and 21413.

LCM(21409,21413) = 79¹ × 271¹ × 7² × 19¹ × 23¹
LCM(21409,21413) = 458430917