What is the Least Common Multiple of 18513 and 18530?

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 18513 and 18530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18513 and 18530, than apply into the LCM equation.

GCF(18513,18530) = 17
LCM(18513,18530) = ( 18513 × 18530) / 17
LCM(18513,18530) = 343045890 / 17
LCM(18513,18530) = 20179170

Least Common Multiple (LCM) of 18513 and 18530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18513 and 18530. First we will calculate the prime factors of 18513 and 18530.

Prime Factorization of 18513

Prime Factorization of 18530

Now multiplying the highest exponent prime factors to calculate the LCM of 18513 and 18530.

LCM(18513,18530) = 3² × 11² × 17¹ × 2¹ × 5¹ × 109¹
LCM(18513,18530) = 20179170