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What is the Least Common Multiple of 55863 and 55876?

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 55863 and 55876 is 3121400988.

LCM(55863,55876) = 3121400988

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Least Common Multiple of 55863 and 55876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55863 and 55876, than apply into the LCM equation.

GCF(55863,55876) = 1
LCM(55863,55876) = ( 55863 × 55876) / 1
LCM(55863,55876) = 3121400988 / 1
LCM(55863,55876) = 3121400988

Least Common Multiple (LCM) of 55863 and 55876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55863 and 55876. First we will calculate the prime factors of 55863 and 55876.

Prime Factorization of 55863

Prime factors of 55863 are 3, 2069. Prime factorization of 55863 in exponential form is:

55863 = 33 × 20691

Prime Factorization of 55876

Prime factors of 55876 are 2, 61, 229. Prime factorization of 55876 in exponential form is:

55876 = 22 × 611 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 55863 and 55876.

LCM(55863,55876) = 33 × 20691 × 22 × 611 × 2291
LCM(55863,55876) = 3121400988