What is the Least Common Multiple of 18234 and 18240?

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 18240 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 18240, than apply into the LCM equation.

GCF(18234,18240) = 6
LCM(18234,18240) = ( 18234 × 18240) / 6
LCM(18234,18240) = 332588160 / 6
LCM(18234,18240) = 55431360

Least Common Multiple (LCM) of 18234 and 18240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18234 and 18240. First we will calculate the prime factors of 18234 and 18240.

Prime Factorization of 18234

Prime Factorization of 18240

Now multiplying the highest exponent prime factors to calculate the LCM of 18234 and 18240.

LCM(18234,18240) = 2⁶ × 3² × 1013¹ × 5¹ × 19¹
LCM(18234,18240) = 55431360