What is the Least Common Multiple of 18234 and 18243?

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 18234 and 18243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18234 and 18243, than apply into the LCM equation.

GCF(18234,18243) = 9
LCM(18234,18243) = ( 18234 × 18243) / 9
LCM(18234,18243) = 332642862 / 9
LCM(18234,18243) = 36960318

Least Common Multiple (LCM) of 18234 and 18243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18234 and 18243. First we will calculate the prime factors of 18234 and 18243.

Prime Factorization of 18234

Prime Factorization of 18243

Now multiplying the highest exponent prime factors to calculate the LCM of 18234 and 18243.

LCM(18234,18243) = 2¹ × 3² × 1013¹ × 2027¹
LCM(18234,18243) = 36960318