What is the Least Common Multiple of 18172 and 18183?

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 18172 and 18183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18172 and 18183, than apply into the LCM equation.

GCF(18172,18183) = 11
LCM(18172,18183) = ( 18172 × 18183) / 11
LCM(18172,18183) = 330421476 / 11
LCM(18172,18183) = 30038316

Least Common Multiple (LCM) of 18172 and 18183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18172 and 18183. First we will calculate the prime factors of 18172 and 18183.

Prime Factorization of 18172

Prime Factorization of 18183

Now multiplying the highest exponent prime factors to calculate the LCM of 18172 and 18183.

LCM(18172,18183) = 2² × 7¹ × 11¹ × 59¹ × 3¹ × 19¹ × 29¹
LCM(18172,18183) = 30038316