What is the Least Common Multiple of 21473 and 21491?

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 21473 and 21491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21473 and 21491, than apply into the LCM equation.

GCF(21473,21491) = 1
LCM(21473,21491) = ( 21473 × 21491) / 1
LCM(21473,21491) = 461476243 / 1
LCM(21473,21491) = 461476243

Least Common Multiple (LCM) of 21473 and 21491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21473 and 21491. First we will calculate the prime factors of 21473 and 21491.

Prime Factorization of 21473

Prime Factorization of 21491

Now multiplying the highest exponent prime factors to calculate the LCM of 21473 and 21491.

LCM(21473,21491) = 109¹ × 197¹ × 21491¹
LCM(21473,21491) = 461476243