What is the Least Common Multiple of 18234 and 18242?

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 18242 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 18242, than apply into the LCM equation.

GCF(18234,18242) = 2
LCM(18234,18242) = ( 18234 × 18242) / 2
LCM(18234,18242) = 332624628 / 2
LCM(18234,18242) = 166312314

Least Common Multiple (LCM) of 18234 and 18242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18234 and 18242. First we will calculate the prime factors of 18234 and 18242.

Prime Factorization of 18234

Prime Factorization of 18242

Now multiplying the highest exponent prime factors to calculate the LCM of 18234 and 18242.

LCM(18234,18242) = 2¹ × 3² × 1013¹ × 7¹ × 1303¹
LCM(18234,18242) = 166312314