What is the Least Common Multiple of 18090 and 18096?

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 18090 and 18096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18090 and 18096, than apply into the LCM equation.

GCF(18090,18096) = 6
LCM(18090,18096) = ( 18090 × 18096) / 6
LCM(18090,18096) = 327356640 / 6
LCM(18090,18096) = 54559440

Least Common Multiple (LCM) of 18090 and 18096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18090 and 18096. First we will calculate the prime factors of 18090 and 18096.

Prime Factorization of 18090

Prime Factorization of 18096

Now multiplying the highest exponent prime factors to calculate the LCM of 18090 and 18096.

LCM(18090,18096) = 2⁴ × 3³ × 5¹ × 67¹ × 13¹ × 29¹
LCM(18090,18096) = 54559440