What is the Least Common Multiple of 18214 and 18232?

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 18214 and 18232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18214 and 18232, than apply into the LCM equation.

GCF(18214,18232) = 2
LCM(18214,18232) = ( 18214 × 18232) / 2
LCM(18214,18232) = 332077648 / 2
LCM(18214,18232) = 166038824

Least Common Multiple (LCM) of 18214 and 18232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18214 and 18232. First we will calculate the prime factors of 18214 and 18232.

Prime Factorization of 18214

Prime Factorization of 18232

Now multiplying the highest exponent prime factors to calculate the LCM of 18214 and 18232.

LCM(18214,18232) = 2³ × 7¹ × 1301¹ × 43¹ × 53¹
LCM(18214,18232) = 166038824