What is the Least Common Multiple of 18364 and 18382?

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 18364 and 18382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18364 and 18382, than apply into the LCM equation.

GCF(18364,18382) = 2
LCM(18364,18382) = ( 18364 × 18382) / 2
LCM(18364,18382) = 337567048 / 2
LCM(18364,18382) = 168783524

Least Common Multiple (LCM) of 18364 and 18382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18364 and 18382. First we will calculate the prime factors of 18364 and 18382.

Prime Factorization of 18364

Prime Factorization of 18382

Now multiplying the highest exponent prime factors to calculate the LCM of 18364 and 18382.

LCM(18364,18382) = 2² × 4591¹ × 7¹ × 13¹ × 101¹
LCM(18364,18382) = 168783524