What is the Least Common Multiple of 18501 and 18513?

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 18501 and 18513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18501 and 18513, than apply into the LCM equation.

GCF(18501,18513) = 3
LCM(18501,18513) = ( 18501 × 18513) / 3
LCM(18501,18513) = 342509013 / 3
LCM(18501,18513) = 114169671

Least Common Multiple (LCM) of 18501 and 18513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18501 and 18513. First we will calculate the prime factors of 18501 and 18513.

Prime Factorization of 18501

Prime Factorization of 18513

Now multiplying the highest exponent prime factors to calculate the LCM of 18501 and 18513.

LCM(18501,18513) = 3² × 7¹ × 881¹ × 11² × 17¹
LCM(18501,18513) = 114169671