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What is the Least Common Multiple of 18224 and 18232?

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 18232 is 41532496.

LCM(18224,18232) = 41532496

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Least Common Multiple of 18224 and 18232 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 18232, than apply into the LCM equation.

GCF(18224,18232) = 8
LCM(18224,18232) = ( 18224 × 18232) / 8
LCM(18224,18232) = 332259968 / 8
LCM(18224,18232) = 41532496

Least Common Multiple (LCM) of 18224 and 18232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18224 and 18232. First we will calculate the prime factors of 18224 and 18232.

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 18232

Prime factors of 18232 are 2, 43, 53. Prime factorization of 18232 in exponential form is:

18232 = 23 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 18224 and 18232.

LCM(18224,18232) = 24 × 171 × 671 × 431 × 531
LCM(18224,18232) = 41532496