What is the Least Common Multiple of 18223 and 18241?

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 18223 and 18241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18223 and 18241, than apply into the LCM equation.

GCF(18223,18241) = 1
LCM(18223,18241) = ( 18223 × 18241) / 1
LCM(18223,18241) = 332405743 / 1
LCM(18223,18241) = 332405743

Least Common Multiple (LCM) of 18223 and 18241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18223 and 18241. First we will calculate the prime factors of 18223 and 18241.

Prime Factorization of 18223

Prime Factorization of 18241

Now multiplying the highest exponent prime factors to calculate the LCM of 18223 and 18241.

LCM(18223,18241) = 18223¹ × 17¹ × 29¹ × 37¹
LCM(18223,18241) = 332405743