What is the Least Common Multiple of 21543 and 21549?

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 21543 and 21549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21543 and 21549, than apply into the LCM equation.

GCF(21543,21549) = 3
LCM(21543,21549) = ( 21543 × 21549) / 3
LCM(21543,21549) = 464230107 / 3
LCM(21543,21549) = 154743369

Least Common Multiple (LCM) of 21543 and 21549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21543 and 21549. First we will calculate the prime factors of 21543 and 21549.

Prime Factorization of 21543

Prime Factorization of 21549

Now multiplying the highest exponent prime factors to calculate the LCM of 21543 and 21549.

LCM(21543,21549) = 3¹ × 43¹ × 167¹ × 11¹ × 653¹
LCM(21543,21549) = 154743369