What is the Least Common Multiple of 18243 and 18261?

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 18243 and 18261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18243 and 18261, than apply into the LCM equation.

GCF(18243,18261) = 9
LCM(18243,18261) = ( 18243 × 18261) / 9
LCM(18243,18261) = 333135423 / 9
LCM(18243,18261) = 37015047

Least Common Multiple (LCM) of 18243 and 18261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18243 and 18261. First we will calculate the prime factors of 18243 and 18261.

Prime Factorization of 18243

Prime Factorization of 18261

Now multiplying the highest exponent prime factors to calculate the LCM of 18243 and 18261.

LCM(18243,18261) = 3² × 2027¹ × 2029¹
LCM(18243,18261) = 37015047