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What is the Least Common Multiple of 55708 and 55721?

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 55708 and 55721 is 3104105468.

LCM(55708,55721) = 3104105468

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Least Common Multiple of 55708 and 55721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55708 and 55721, than apply into the LCM equation.

GCF(55708,55721) = 1
LCM(55708,55721) = ( 55708 × 55721) / 1
LCM(55708,55721) = 3104105468 / 1
LCM(55708,55721) = 3104105468

Least Common Multiple (LCM) of 55708 and 55721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55708 and 55721. First we will calculate the prime factors of 55708 and 55721.

Prime Factorization of 55708

Prime factors of 55708 are 2, 19, 733. Prime factorization of 55708 in exponential form is:

55708 = 22 × 191 × 7331

Prime Factorization of 55721

Prime factors of 55721 are 55721. Prime factorization of 55721 in exponential form is:

55721 = 557211

Now multiplying the highest exponent prime factors to calculate the LCM of 55708 and 55721.

LCM(55708,55721) = 22 × 191 × 7331 × 557211
LCM(55708,55721) = 3104105468