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What is the Least Common Multiple of 55851 and 55866?

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 55851 and 55866 is 1040057322.

LCM(55851,55866) = 1040057322

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Least Common Multiple of 55851 and 55866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55851 and 55866, than apply into the LCM equation.

GCF(55851,55866) = 3
LCM(55851,55866) = ( 55851 × 55866) / 3
LCM(55851,55866) = 3120171966 / 3
LCM(55851,55866) = 1040057322

Least Common Multiple (LCM) of 55851 and 55866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55851 and 55866. First we will calculate the prime factors of 55851 and 55866.

Prime Factorization of 55851

Prime factors of 55851 are 3, 18617. Prime factorization of 55851 in exponential form is:

55851 = 31 × 186171

Prime Factorization of 55866

Prime factors of 55866 are 2, 3, 9311. Prime factorization of 55866 in exponential form is:

55866 = 21 × 31 × 93111

Now multiplying the highest exponent prime factors to calculate the LCM of 55851 and 55866.

LCM(55851,55866) = 31 × 186171 × 21 × 93111
LCM(55851,55866) = 1040057322