What is the Least Common Multiple of 18966 and 18981?

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 18966 and 18981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18966 and 18981, than apply into the LCM equation.

GCF(18966,18981) = 3
LCM(18966,18981) = ( 18966 × 18981) / 3
LCM(18966,18981) = 359993646 / 3
LCM(18966,18981) = 119997882

Least Common Multiple (LCM) of 18966 and 18981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18966 and 18981. First we will calculate the prime factors of 18966 and 18981.

Prime Factorization of 18966

Prime Factorization of 18981

Now multiplying the highest exponent prime factors to calculate the LCM of 18966 and 18981.

LCM(18966,18981) = 2¹ × 3³ × 29¹ × 109¹ × 19¹ × 37¹
LCM(18966,18981) = 119997882