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What is the Least Common Multiple of 55870 and 55886?

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 55870 and 55886 is 1561175410.

LCM(55870,55886) = 1561175410

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Least Common Multiple of 55870 and 55886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55870 and 55886, than apply into the LCM equation.

GCF(55870,55886) = 2
LCM(55870,55886) = ( 55870 × 55886) / 2
LCM(55870,55886) = 3122350820 / 2
LCM(55870,55886) = 1561175410

Least Common Multiple (LCM) of 55870 and 55886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55870 and 55886. First we will calculate the prime factors of 55870 and 55886.

Prime Factorization of 55870

Prime factors of 55870 are 2, 5, 37, 151. Prime factorization of 55870 in exponential form is:

55870 = 21 × 51 × 371 × 1511

Prime Factorization of 55886

Prime factors of 55886 are 2, 27943. Prime factorization of 55886 in exponential form is:

55886 = 21 × 279431

Now multiplying the highest exponent prime factors to calculate the LCM of 55870 and 55886.

LCM(55870,55886) = 21 × 51 × 371 × 1511 × 279431
LCM(55870,55886) = 1561175410