What is the Least Common Multiple of 18714 and 18729?

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 18714 and 18729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18714 and 18729, than apply into the LCM equation.

GCF(18714,18729) = 3
LCM(18714,18729) = ( 18714 × 18729) / 3
LCM(18714,18729) = 350494506 / 3
LCM(18714,18729) = 116831502

Least Common Multiple (LCM) of 18714 and 18729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18714 and 18729. First we will calculate the prime factors of 18714 and 18729.

Prime Factorization of 18714

Prime Factorization of 18729

Now multiplying the highest exponent prime factors to calculate the LCM of 18714 and 18729.

LCM(18714,18729) = 2¹ × 3² × 3119¹ × 2081¹
LCM(18714,18729) = 116831502