What is the Least Common Multiple of 18225 and 18231?

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 18225 and 18231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18225 and 18231, than apply into the LCM equation.

GCF(18225,18231) = 3
LCM(18225,18231) = ( 18225 × 18231) / 3
LCM(18225,18231) = 332259975 / 3
LCM(18225,18231) = 110753325

Least Common Multiple (LCM) of 18225 and 18231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18225 and 18231. First we will calculate the prime factors of 18225 and 18231.

Prime Factorization of 18225

Prime Factorization of 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 18225 and 18231.

LCM(18225,18231) = 3⁶ × 5² × 59¹ × 103¹
LCM(18225,18231) = 110753325