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What is the Least Common Multiple of 55861 and 55869?

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 55861 and 55869 is 3120898209.

LCM(55861,55869) = 3120898209

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Least Common Multiple of 55861 and 55869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55861 and 55869, than apply into the LCM equation.

GCF(55861,55869) = 1
LCM(55861,55869) = ( 55861 × 55869) / 1
LCM(55861,55869) = 3120898209 / 1
LCM(55861,55869) = 3120898209

Least Common Multiple (LCM) of 55861 and 55869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55861 and 55869. First we will calculate the prime factors of 55861 and 55869.

Prime Factorization of 55861

Prime factors of 55861 are 13, 4297. Prime factorization of 55861 in exponential form is:

55861 = 131 × 42971

Prime Factorization of 55869

Prime factors of 55869 are 3, 11, 1693. Prime factorization of 55869 in exponential form is:

55869 = 31 × 111 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 55861 and 55869.

LCM(55861,55869) = 131 × 42971 × 31 × 111 × 16931
LCM(55861,55869) = 3120898209