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What is the Least Common Multiple of 55806 and 55811?

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 55806 and 55811 is 3114588666.

LCM(55806,55811) = 3114588666

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Least Common Multiple of 55806 and 55811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55806 and 55811, than apply into the LCM equation.

GCF(55806,55811) = 1
LCM(55806,55811) = ( 55806 × 55811) / 1
LCM(55806,55811) = 3114588666 / 1
LCM(55806,55811) = 3114588666

Least Common Multiple (LCM) of 55806 and 55811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55806 and 55811. First we will calculate the prime factors of 55806 and 55811.

Prime Factorization of 55806

Prime factors of 55806 are 2, 3, 71, 131. Prime factorization of 55806 in exponential form is:

55806 = 21 × 31 × 711 × 1311

Prime Factorization of 55811

Prime factors of 55811 are 7, 17, 67. Prime factorization of 55811 in exponential form is:

55811 = 72 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 55806 and 55811.

LCM(55806,55811) = 21 × 31 × 711 × 1311 × 72 × 171 × 671
LCM(55806,55811) = 3114588666