What is the Least Common Multiple of 18540 and 18549?

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 18540 and 18549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18540 and 18549, than apply into the LCM equation.

GCF(18540,18549) = 9
LCM(18540,18549) = ( 18540 × 18549) / 9
LCM(18540,18549) = 343898460 / 9
LCM(18540,18549) = 38210940

Least Common Multiple (LCM) of 18540 and 18549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18540 and 18549. First we will calculate the prime factors of 18540 and 18549.

Prime Factorization of 18540

Prime Factorization of 18549

Now multiplying the highest exponent prime factors to calculate the LCM of 18540 and 18549.

LCM(18540,18549) = 2² × 3⁴ × 5¹ × 103¹ × 229¹
LCM(18540,18549) = 38210940