What is the Least Common Multiple of 18099 and 18105?

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 18099 and 18105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18099 and 18105, than apply into the LCM equation.

GCF(18099,18105) = 3
LCM(18099,18105) = ( 18099 × 18105) / 3
LCM(18099,18105) = 327682395 / 3
LCM(18099,18105) = 109227465

Least Common Multiple (LCM) of 18099 and 18105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18099 and 18105. First we will calculate the prime factors of 18099 and 18105.

Prime Factorization of 18099

Prime Factorization of 18105

Now multiplying the highest exponent prime factors to calculate the LCM of 18099 and 18105.

LCM(18099,18105) = 3² × 2011¹ × 5¹ × 17¹ × 71¹
LCM(18099,18105) = 109227465