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What is the Least Common Multiple of 55857 and 55873?

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 55857 and 55873 is 3120898161.

LCM(55857,55873) = 3120898161

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Least Common Multiple of 55857 and 55873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55857 and 55873, than apply into the LCM equation.

GCF(55857,55873) = 1
LCM(55857,55873) = ( 55857 × 55873) / 1
LCM(55857,55873) = 3120898161 / 1
LCM(55857,55873) = 3120898161

Least Common Multiple (LCM) of 55857 and 55873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55857 and 55873. First we will calculate the prime factors of 55857 and 55873.

Prime Factorization of 55857

Prime factors of 55857 are 3, 43, 433. Prime factorization of 55857 in exponential form is:

55857 = 31 × 431 × 4331

Prime Factorization of 55873

Prime factors of 55873 are 59, 947. Prime factorization of 55873 in exponential form is:

55873 = 591 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 55857 and 55873.

LCM(55857,55873) = 31 × 431 × 4331 × 591 × 9471
LCM(55857,55873) = 3120898161