What is the Least Common Multiple of 38184 and 38194?

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 38184 and 38194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38184 and 38194, than apply into the LCM equation.

GCF(38184,38194) = 2
LCM(38184,38194) = ( 38184 × 38194) / 2
LCM(38184,38194) = 1458399696 / 2
LCM(38184,38194) = 729199848

Least Common Multiple (LCM) of 38184 and 38194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38184 and 38194. First we will calculate the prime factors of 38184 and 38194.

Prime Factorization of 38184

Prime Factorization of 38194

Now multiplying the highest exponent prime factors to calculate the LCM of 38184 and 38194.

LCM(38184,38194) = 2³ × 3¹ × 37¹ × 43¹ × 13² × 113¹
LCM(38184,38194) = 729199848