What is the Least Common Multiple of 21524 and 21543?

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 21524 and 21543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21524 and 21543, than apply into the LCM equation.

GCF(21524,21543) = 1
LCM(21524,21543) = ( 21524 × 21543) / 1
LCM(21524,21543) = 463691532 / 1
LCM(21524,21543) = 463691532

Least Common Multiple (LCM) of 21524 and 21543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21524 and 21543. First we will calculate the prime factors of 21524 and 21543.

Prime Factorization of 21524

Prime Factorization of 21543

Now multiplying the highest exponent prime factors to calculate the LCM of 21524 and 21543.

LCM(21524,21543) = 2² × 5381¹ × 3¹ × 43¹ × 167¹
LCM(21524,21543) = 463691532