What is the Least Common Multiple of 45543 and 45549?

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 45543 and 45549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45543 and 45549, than apply into the LCM equation.

GCF(45543,45549) = 3
LCM(45543,45549) = ( 45543 × 45549) / 3
LCM(45543,45549) = 2074438107 / 3
LCM(45543,45549) = 691479369

Least Common Multiple (LCM) of 45543 and 45549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45543 and 45549. First we will calculate the prime factors of 45543 and 45549.

Prime Factorization of 45543

Prime Factorization of 45549

Now multiplying the highest exponent prime factors to calculate the LCM of 45543 and 45549.

LCM(45543,45549) = 3³ × 17¹ × 19¹ × 47¹ × 7¹ × 241¹
LCM(45543,45549) = 691479369