What is the Least Common Multiple of 18224 and 18229?

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 18224 and 18229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18224 and 18229, than apply into the LCM equation.

GCF(18224,18229) = 1
LCM(18224,18229) = ( 18224 × 18229) / 1
LCM(18224,18229) = 332205296 / 1
LCM(18224,18229) = 332205296

Least Common Multiple (LCM) of 18224 and 18229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18224 and 18229. First we will calculate the prime factors of 18224 and 18229.

Prime Factorization of 18224

Prime Factorization of 18229

Now multiplying the highest exponent prime factors to calculate the LCM of 18224 and 18229.

LCM(18224,18229) = 2⁴ × 17¹ × 67¹ × 18229¹
LCM(18224,18229) = 332205296