What is the Least Common Multiple of 30543 and 30549?

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 30543 and 30549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30543 and 30549, than apply into the LCM equation.

GCF(30543,30549) = 3
LCM(30543,30549) = ( 30543 × 30549) / 3
LCM(30543,30549) = 933058107 / 3
LCM(30543,30549) = 311019369

Least Common Multiple (LCM) of 30543 and 30549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30543 and 30549. First we will calculate the prime factors of 30543 and 30549.

Prime Factorization of 30543

Prime Factorization of 30549

Now multiplying the highest exponent prime factors to calculate the LCM of 30543 and 30549.

LCM(30543,30549) = 3¹ × 10181¹ × 17¹ × 599¹
LCM(30543,30549) = 311019369