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What is the Least Common Multiple of 55004 and 55024?

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 55004 and 55024 is 756635024.

LCM(55004,55024) = 756635024

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Least Common Multiple of 55004 and 55024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55004 and 55024, than apply into the LCM equation.

GCF(55004,55024) = 4
LCM(55004,55024) = ( 55004 × 55024) / 4
LCM(55004,55024) = 3026540096 / 4
LCM(55004,55024) = 756635024

Least Common Multiple (LCM) of 55004 and 55024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55004 and 55024. First we will calculate the prime factors of 55004 and 55024.

Prime Factorization of 55004

Prime factors of 55004 are 2, 13751. Prime factorization of 55004 in exponential form is:

55004 = 22 × 137511

Prime Factorization of 55024

Prime factors of 55024 are 2, 19, 181. Prime factorization of 55024 in exponential form is:

55024 = 24 × 191 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 55004 and 55024.

LCM(55004,55024) = 24 × 137511 × 191 × 1811
LCM(55004,55024) = 756635024