What is the Least Common Multiple of 27543 and 27549?

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 27543 and 27549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27543 and 27549, than apply into the LCM equation.

GCF(27543,27549) = 3
LCM(27543,27549) = ( 27543 × 27549) / 3
LCM(27543,27549) = 758782107 / 3
LCM(27543,27549) = 252927369

Least Common Multiple (LCM) of 27543 and 27549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27543 and 27549. First we will calculate the prime factors of 27543 and 27549.

Prime Factorization of 27543

Prime Factorization of 27549

Now multiplying the highest exponent prime factors to calculate the LCM of 27543 and 27549.

LCM(27543,27549) = 3² × 9181¹ × 3061¹
LCM(27543,27549) = 252927369