What is the Least Common Multiple of 19314 and 19319?

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 19314 and 19319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19314 and 19319, than apply into the LCM equation.

GCF(19314,19319) = 1
LCM(19314,19319) = ( 19314 × 19319) / 1
LCM(19314,19319) = 373127166 / 1
LCM(19314,19319) = 373127166

Least Common Multiple (LCM) of 19314 and 19319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19314 and 19319. First we will calculate the prime factors of 19314 and 19319.

Prime Factorization of 19314

Prime Factorization of 19319

Now multiplying the highest exponent prime factors to calculate the LCM of 19314 and 19319.

LCM(19314,19319) = 2¹ × 3² × 29¹ × 37¹ × 19319¹
LCM(19314,19319) = 373127166