What is the Least Common Multiple of 18705 and 18723?

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 18723 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 18723, than apply into the LCM equation.

GCF(18705,18723) = 3
LCM(18705,18723) = ( 18705 × 18723) / 3
LCM(18705,18723) = 350213715 / 3
LCM(18705,18723) = 116737905

Least Common Multiple (LCM) of 18705 and 18723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18705 and 18723. First we will calculate the prime factors of 18705 and 18723.

Prime Factorization of 18705

Prime Factorization of 18723

Now multiplying the highest exponent prime factors to calculate the LCM of 18705 and 18723.

LCM(18705,18723) = 3¹ × 5¹ × 29¹ × 43¹ × 79²
LCM(18705,18723) = 116737905