What is the Least Common Multiple of 18374 and 18392?

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 18374 and 18392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18374 and 18392, than apply into the LCM equation.

GCF(18374,18392) = 2
LCM(18374,18392) = ( 18374 × 18392) / 2
LCM(18374,18392) = 337934608 / 2
LCM(18374,18392) = 168967304

Least Common Multiple (LCM) of 18374 and 18392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18374 and 18392. First we will calculate the prime factors of 18374 and 18392.

Prime Factorization of 18374

Prime Factorization of 18392

Now multiplying the highest exponent prime factors to calculate the LCM of 18374 and 18392.

LCM(18374,18392) = 2³ × 9187¹ × 11² × 19¹
LCM(18374,18392) = 168967304