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What is the Least Common Multiple of 55861 and 55867?

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 55867 is 3120786487.

LCM(55861,55867) = 3120786487

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Least Common Multiple of 55861 and 55867 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 55867, than apply into the LCM equation.

GCF(55861,55867) = 1
LCM(55861,55867) = ( 55861 × 55867) / 1
LCM(55861,55867) = 3120786487 / 1
LCM(55861,55867) = 3120786487

Least Common Multiple (LCM) of 55861 and 55867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55861 and 55867. First we will calculate the prime factors of 55861 and 55867.

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 55867

Prime factors of 55867 are 7, 23, 347. Prime factorization of 55867 in exponential form is:

55867 = 71 × 231 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 55861 and 55867.

LCM(55861,55867) = 131 × 42971 × 71 × 231 × 3471
LCM(55861,55867) = 3120786487