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What is the Least Common Multiple of 55008 and 55015?

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 55008 and 55015 is 3026265120.

LCM(55008,55015) = 3026265120

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Least Common Multiple of 55008 and 55015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55008 and 55015, than apply into the LCM equation.

GCF(55008,55015) = 1
LCM(55008,55015) = ( 55008 × 55015) / 1
LCM(55008,55015) = 3026265120 / 1
LCM(55008,55015) = 3026265120

Least Common Multiple (LCM) of 55008 and 55015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55008 and 55015. First we will calculate the prime factors of 55008 and 55015.

Prime Factorization of 55008

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

55008 = 25 × 32 × 1911

Prime Factorization of 55015

Prime factors of 55015 are 5, 11003. Prime factorization of 55015 in exponential form is:

55015 = 51 × 110031

Now multiplying the highest exponent prime factors to calculate the LCM of 55008 and 55015.

LCM(55008,55015) = 25 × 32 × 1911 × 51 × 110031
LCM(55008,55015) = 3026265120