What is the Least Common Multiple of 18016 and 18034?

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 18016 and 18034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18016 and 18034, than apply into the LCM equation.

GCF(18016,18034) = 2
LCM(18016,18034) = ( 18016 × 18034) / 2
LCM(18016,18034) = 324900544 / 2
LCM(18016,18034) = 162450272

Least Common Multiple (LCM) of 18016 and 18034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18016 and 18034. First we will calculate the prime factors of 18016 and 18034.

Prime Factorization of 18016

Prime Factorization of 18034

Now multiplying the highest exponent prime factors to calculate the LCM of 18016 and 18034.

LCM(18016,18034) = 2⁵ × 563¹ × 71¹ × 127¹
LCM(18016,18034) = 162450272