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What is the Least Common Multiple of 18464 and 18484?

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 18464 and 18484 is 85322144.

LCM(18464,18484) = 85322144

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Least Common Multiple of 18464 and 18484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18464 and 18484, than apply into the LCM equation.

GCF(18464,18484) = 4
LCM(18464,18484) = ( 18464 × 18484) / 4
LCM(18464,18484) = 341288576 / 4
LCM(18464,18484) = 85322144

Least Common Multiple (LCM) of 18464 and 18484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18464 and 18484. First we will calculate the prime factors of 18464 and 18484.

Prime Factorization of 18464

Prime factors of 18464 are 2, 577. Prime factorization of 18464 in exponential form is:

18464 = 25 × 5771

Prime Factorization of 18484

Prime factors of 18484 are 2, 4621. Prime factorization of 18484 in exponential form is:

18484 = 22 × 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 18464 and 18484.

LCM(18464,18484) = 25 × 5771 × 46211
LCM(18464,18484) = 85322144