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What is the Least Common Multiple of 55281 and 55301?

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 55281 and 55301 is 3057094581.

LCM(55281,55301) = 3057094581

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Least Common Multiple of 55281 and 55301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55281 and 55301, than apply into the LCM equation.

GCF(55281,55301) = 1
LCM(55281,55301) = ( 55281 × 55301) / 1
LCM(55281,55301) = 3057094581 / 1
LCM(55281,55301) = 3057094581

Least Common Multiple (LCM) of 55281 and 55301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55281 and 55301. First we will calculate the prime factors of 55281 and 55301.

Prime Factorization of 55281

Prime factors of 55281 are 3, 18427. Prime factorization of 55281 in exponential form is:

55281 = 31 × 184271

Prime Factorization of 55301

Prime factors of 55301 are 17, 3253. Prime factorization of 55301 in exponential form is:

55301 = 171 × 32531

Now multiplying the highest exponent prime factors to calculate the LCM of 55281 and 55301.

LCM(55281,55301) = 31 × 184271 × 171 × 32531
LCM(55281,55301) = 3057094581