What is the Least Common Multiple of 19388 and 19406?

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 19388 and 19406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19388 and 19406, than apply into the LCM equation.

GCF(19388,19406) = 2
LCM(19388,19406) = ( 19388 × 19406) / 2
LCM(19388,19406) = 376243528 / 2
LCM(19388,19406) = 188121764

Least Common Multiple (LCM) of 19388 and 19406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19388 and 19406. First we will calculate the prime factors of 19388 and 19406.

Prime Factorization of 19388

Prime Factorization of 19406

Now multiplying the highest exponent prime factors to calculate the LCM of 19388 and 19406.

LCM(19388,19406) = 2² × 37¹ × 131¹ × 31¹ × 313¹
LCM(19388,19406) = 188121764