What is the Least Common Multiple of 18096 and 18104?

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 18096 and 18104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18096 and 18104, than apply into the LCM equation.

GCF(18096,18104) = 8
LCM(18096,18104) = ( 18096 × 18104) / 8
LCM(18096,18104) = 327609984 / 8
LCM(18096,18104) = 40951248

Least Common Multiple (LCM) of 18096 and 18104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18096 and 18104. First we will calculate the prime factors of 18096 and 18104.

Prime Factorization of 18096

Prime Factorization of 18104

Now multiplying the highest exponent prime factors to calculate the LCM of 18096 and 18104.

LCM(18096,18104) = 2⁴ × 3¹ × 13¹ × 29¹ × 31¹ × 73¹
LCM(18096,18104) = 40951248