What is the Least Common Multiple of 18966 and 18973?

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 18973 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 18973, than apply into the LCM equation.

GCF(18966,18973) = 1
LCM(18966,18973) = ( 18966 × 18973) / 1
LCM(18966,18973) = 359841918 / 1
LCM(18966,18973) = 359841918

Least Common Multiple (LCM) of 18966 and 18973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18966 and 18973. First we will calculate the prime factors of 18966 and 18973.

Prime Factorization of 18966

Prime Factorization of 18973

Now multiplying the highest exponent prime factors to calculate the LCM of 18966 and 18973.

LCM(18966,18973) = 2¹ × 3¹ × 29¹ × 109¹ × 18973¹
LCM(18966,18973) = 359841918