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What is the Least Common Multiple of 55856 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 55856 and 55867 is 3120507152.

LCM(55856,55867) = 3120507152

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Least Common Multiple of 55856 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 55856 and 55867, than apply into the LCM equation.

GCF(55856,55867) = 1
LCM(55856,55867) = ( 55856 × 55867) / 1
LCM(55856,55867) = 3120507152 / 1
LCM(55856,55867) = 3120507152

Least Common Multiple (LCM) of 55856 and 55867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55856 and 55867. First we will calculate the prime factors of 55856 and 55867.

Prime Factorization of 55856

Prime factors of 55856 are 2, 3491. Prime factorization of 55856 in exponential form is:

55856 = 24 × 34911

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 55856 and 55867.

LCM(55856,55867) = 24 × 34911 × 71 × 231 × 3471
LCM(55856,55867) = 3120507152