What is the Least Common Multiple of 18705 and 18711?

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 18705 and 18711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18705 and 18711, than apply into the LCM equation.

GCF(18705,18711) = 3
LCM(18705,18711) = ( 18705 × 18711) / 3
LCM(18705,18711) = 349989255 / 3
LCM(18705,18711) = 116663085

Least Common Multiple (LCM) of 18705 and 18711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18705 and 18711. First we will calculate the prime factors of 18705 and 18711.

Prime Factorization of 18705

Prime Factorization of 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 18705 and 18711.

LCM(18705,18711) = 3⁵ × 5¹ × 29¹ × 43¹ × 7¹ × 11¹
LCM(18705,18711) = 116663085