What is the Least Common Multiple of 18344 and 18358?

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 18344 and 18358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18344 and 18358, than apply into the LCM equation.

GCF(18344,18358) = 2
LCM(18344,18358) = ( 18344 × 18358) / 2
LCM(18344,18358) = 336759152 / 2
LCM(18344,18358) = 168379576

Least Common Multiple (LCM) of 18344 and 18358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18344 and 18358. First we will calculate the prime factors of 18344 and 18358.

Prime Factorization of 18344

Prime Factorization of 18358

Now multiplying the highest exponent prime factors to calculate the LCM of 18344 and 18358.

LCM(18344,18358) = 2³ × 2293¹ × 67¹ × 137¹
LCM(18344,18358) = 168379576