What is the Least Common Multiple of 81543 and 81549?

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 81543 and 81549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81543 and 81549, than apply into the LCM equation.

GCF(81543,81549) = 3
LCM(81543,81549) = ( 81543 × 81549) / 3
LCM(81543,81549) = 6649750107 / 3
LCM(81543,81549) = 2216583369

Least Common Multiple (LCM) of 81543 and 81549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81543 and 81549. First we will calculate the prime factors of 81543 and 81549.

Prime Factorization of 81543

Prime Factorization of 81549

Now multiplying the highest exponent prime factors to calculate the LCM of 81543 and 81549.

LCM(81543,81549) = 3² × 7¹ × 11¹ × 353¹ × 13¹ × 17¹ × 41¹
LCM(81543,81549) = 2216583369