What is the Least Common Multiple of 18024 and 18042?

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 18024 and 18042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18024 and 18042, than apply into the LCM equation.

GCF(18024,18042) = 6
LCM(18024,18042) = ( 18024 × 18042) / 6
LCM(18024,18042) = 325189008 / 6
LCM(18024,18042) = 54198168

Least Common Multiple (LCM) of 18024 and 18042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18024 and 18042. First we will calculate the prime factors of 18024 and 18042.

Prime Factorization of 18024

Prime Factorization of 18042

Now multiplying the highest exponent prime factors to calculate the LCM of 18024 and 18042.

LCM(18024,18042) = 2³ × 3¹ × 751¹ × 31¹ × 97¹
LCM(18024,18042) = 54198168