What is the Least Common Multiple of 18653 and 18673?

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 18653 and 18673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18653 and 18673, than apply into the LCM equation.

GCF(18653,18673) = 1
LCM(18653,18673) = ( 18653 × 18673) / 1
LCM(18653,18673) = 348307469 / 1
LCM(18653,18673) = 348307469

Least Common Multiple (LCM) of 18653 and 18673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18653 and 18673. First we will calculate the prime factors of 18653 and 18673.

Prime Factorization of 18653

Prime Factorization of 18673

Now multiplying the highest exponent prime factors to calculate the LCM of 18653 and 18673.

LCM(18653,18673) = 23¹ × 811¹ × 71¹ × 263¹
LCM(18653,18673) = 348307469