What is the Least Common Multiple of 18714 and 18719?

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 18719 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 18719, than apply into the LCM equation.

GCF(18714,18719) = 1
LCM(18714,18719) = ( 18714 × 18719) / 1
LCM(18714,18719) = 350307366 / 1
LCM(18714,18719) = 350307366

Least Common Multiple (LCM) of 18714 and 18719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18714 and 18719. First we will calculate the prime factors of 18714 and 18719.

Prime Factorization of 18714

Prime Factorization of 18719

Now multiplying the highest exponent prime factors to calculate the LCM of 18714 and 18719.

LCM(18714,18719) = 2¹ × 3¹ × 3119¹ × 18719¹
LCM(18714,18719) = 350307366