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What is the Least Common Multiple of 18224 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 18224 and 18228 is 83046768.

LCM(18224,18228) = 83046768

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Least Common Multiple of 18224 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 18224 and 18228, than apply into the LCM equation.

GCF(18224,18228) = 4
LCM(18224,18228) = ( 18224 × 18228) / 4
LCM(18224,18228) = 332187072 / 4
LCM(18224,18228) = 83046768

Least Common Multiple (LCM) of 18224 and 18228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18224 and 18228. First we will calculate the prime factors of 18224 and 18228.

Prime Factorization of 18224

Prime factors of 18224 are 2, 17, 67. Prime factorization of 18224 in exponential form is:

18224 = 24 × 171 × 671

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 18224 and 18228.

LCM(18224,18228) = 24 × 171 × 671 × 31 × 72 × 311
LCM(18224,18228) = 83046768