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What is the Least Common Multiple of 54204 and 54224?

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 54204 and 54224 is 734789424.

LCM(54204,54224) = 734789424

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Least Common Multiple of 54204 and 54224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54204 and 54224, than apply into the LCM equation.

GCF(54204,54224) = 4
LCM(54204,54224) = ( 54204 × 54224) / 4
LCM(54204,54224) = 2939157696 / 4
LCM(54204,54224) = 734789424

Least Common Multiple (LCM) of 54204 and 54224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54204 and 54224. First we will calculate the prime factors of 54204 and 54224.

Prime Factorization of 54204

Prime factors of 54204 are 2, 3, 4517. Prime factorization of 54204 in exponential form is:

54204 = 22 × 31 × 45171

Prime Factorization of 54224

Prime factors of 54224 are 2, 3389. Prime factorization of 54224 in exponential form is:

54224 = 24 × 33891

Now multiplying the highest exponent prime factors to calculate the LCM of 54204 and 54224.

LCM(54204,54224) = 24 × 31 × 45171 × 33891
LCM(54204,54224) = 734789424