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What is the Least Common Multiple of 55988 and 56008?

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 55988 and 56008 is 783943976.

LCM(55988,56008) = 783943976

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Least Common Multiple of 55988 and 56008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55988 and 56008, than apply into the LCM equation.

GCF(55988,56008) = 4
LCM(55988,56008) = ( 55988 × 56008) / 4
LCM(55988,56008) = 3135775904 / 4
LCM(55988,56008) = 783943976

Least Common Multiple (LCM) of 55988 and 56008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55988 and 56008. First we will calculate the prime factors of 55988 and 56008.

Prime Factorization of 55988

Prime factors of 55988 are 2, 13997. Prime factorization of 55988 in exponential form is:

55988 = 22 × 139971

Prime Factorization of 56008

Prime factors of 56008 are 2, 7001. Prime factorization of 56008 in exponential form is:

56008 = 23 × 70011

Now multiplying the highest exponent prime factors to calculate the LCM of 55988 and 56008.

LCM(55988,56008) = 23 × 139971 × 70011
LCM(55988,56008) = 783943976