What is the Least Common Multiple of 21293 and 21299?

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 21293 and 21299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21293 and 21299, than apply into the LCM equation.

GCF(21293,21299) = 1
LCM(21293,21299) = ( 21293 × 21299) / 1
LCM(21293,21299) = 453519607 / 1
LCM(21293,21299) = 453519607

Least Common Multiple (LCM) of 21293 and 21299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21293 and 21299. First we will calculate the prime factors of 21293 and 21299.

Prime Factorization of 21293

Prime Factorization of 21299

Now multiplying the highest exponent prime factors to calculate the LCM of 21293 and 21299.

LCM(21293,21299) = 107¹ × 199¹ × 19² × 59¹
LCM(21293,21299) = 453519607