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What is the Least Common Multiple of 18215 and 18228?

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 (LCM) of 18215 and 18228 is 332023020.

LCM(18215,18228) = 332023020

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Least Common Multiple of 18215 and 18228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18215 and 18228, than apply into the LCM equation.

GCF(18215,18228) = 1
LCM(18215,18228) = ( 18215 × 18228) / 1
LCM(18215,18228) = 332023020 / 1
LCM(18215,18228) = 332023020

Least Common Multiple (LCM) of 18215 and 18228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18215 and 18228. First we will calculate the prime factors of 18215 and 18228.

Prime Factorization of 18215

Prime factors of 18215 are 5, 3643. Prime factorization of 18215 in exponential form is:

18215 = 51 × 36431

Prime Factorization of 18228

Prime factors of 18228 are 2, 3, 7, 31. Prime factorization of 18228 in exponential form is:

18228 = 22 × 31 × 72 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 18215 and 18228.

LCM(18215,18228) = 51 × 36431 × 22 × 31 × 72 × 311
LCM(18215,18228) = 332023020