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What is the Least Common Multiple of 55004 and 55008?

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 55008 is 756415008.

LCM(55004,55008) = 756415008

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Least Common Multiple of 55004 and 55008 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 55008, than apply into the LCM equation.

GCF(55004,55008) = 4
LCM(55004,55008) = ( 55004 × 55008) / 4
LCM(55004,55008) = 3025660032 / 4
LCM(55004,55008) = 756415008

Least Common Multiple (LCM) of 55004 and 55008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55004 and 55008. First we will calculate the prime factors of 55004 and 55008.

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 55008

Prime factors of 55008 are 2, 3, 191. Prime factorization of 55008 in exponential form is:

55008 = 25 × 32 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 55004 and 55008.

LCM(55004,55008) = 25 × 137511 × 32 × 1911
LCM(55004,55008) = 756415008