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What is the Least Common Multiple of 55486 and 55504?

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 55486 and 55504 is 1539847472.

LCM(55486,55504) = 1539847472

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Least Common Multiple of 55486 and 55504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55486 and 55504, than apply into the LCM equation.

GCF(55486,55504) = 2
LCM(55486,55504) = ( 55486 × 55504) / 2
LCM(55486,55504) = 3079694944 / 2
LCM(55486,55504) = 1539847472

Least Common Multiple (LCM) of 55486 and 55504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55486 and 55504. First we will calculate the prime factors of 55486 and 55504.

Prime Factorization of 55486

Prime factors of 55486 are 2, 27743. Prime factorization of 55486 in exponential form is:

55486 = 21 × 277431

Prime Factorization of 55504

Prime factors of 55504 are 2, 3469. Prime factorization of 55504 in exponential form is:

55504 = 24 × 34691

Now multiplying the highest exponent prime factors to calculate the LCM of 55486 and 55504.

LCM(55486,55504) = 24 × 277431 × 34691
LCM(55486,55504) = 1539847472