What is the Least Common Multiple of 18693 and 18705?

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 18693 and 18705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18693 and 18705, than apply into the LCM equation.

GCF(18693,18705) = 3
LCM(18693,18705) = ( 18693 × 18705) / 3
LCM(18693,18705) = 349652565 / 3
LCM(18693,18705) = 116550855

Least Common Multiple (LCM) of 18693 and 18705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18693 and 18705. First we will calculate the prime factors of 18693 and 18705.

Prime Factorization of 18693

Prime Factorization of 18705

Now multiplying the highest exponent prime factors to calculate the LCM of 18693 and 18705.

LCM(18693,18705) = 3² × 31¹ × 67¹ × 5¹ × 29¹ × 43¹
LCM(18693,18705) = 116550855