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What is the Least Common Multiple of 18208 and 18224?

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 18208 and 18224 is 20738912.

LCM(18208,18224) = 20738912

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Least Common Multiple of 18208 and 18224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18208 and 18224, than apply into the LCM equation.

GCF(18208,18224) = 16
LCM(18208,18224) = ( 18208 × 18224) / 16
LCM(18208,18224) = 331822592 / 16
LCM(18208,18224) = 20738912

Least Common Multiple (LCM) of 18208 and 18224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18208 and 18224. First we will calculate the prime factors of 18208 and 18224.

Prime Factorization of 18208

Prime factors of 18208 are 2, 569. Prime factorization of 18208 in exponential form is:

18208 = 25 × 5691

Prime Factorization of 18224

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

18224 = 24 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 18208 and 18224.

LCM(18208,18224) = 25 × 5691 × 171 × 671
LCM(18208,18224) = 20738912