What is the Least Common Multiple of 19359 and 19366?

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 19359 and 19366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19359 and 19366, than apply into the LCM equation.

GCF(19359,19366) = 1
LCM(19359,19366) = ( 19359 × 19366) / 1
LCM(19359,19366) = 374906394 / 1
LCM(19359,19366) = 374906394

Least Common Multiple (LCM) of 19359 and 19366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19359 and 19366. First we will calculate the prime factors of 19359 and 19366.

Prime Factorization of 19359

Prime Factorization of 19366

Now multiplying the highest exponent prime factors to calculate the LCM of 19359 and 19366.

LCM(19359,19366) = 3⁴ × 239¹ × 2¹ × 23¹ × 421¹
LCM(19359,19366) = 374906394