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What is the Least Common Multiple of 55866 and 55885?

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 55866 and 55885 is 3122071410.

LCM(55866,55885) = 3122071410

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Least Common Multiple of 55866 and 55885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55866 and 55885, than apply into the LCM equation.

GCF(55866,55885) = 1
LCM(55866,55885) = ( 55866 × 55885) / 1
LCM(55866,55885) = 3122071410 / 1
LCM(55866,55885) = 3122071410

Least Common Multiple (LCM) of 55866 and 55885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55866 and 55885. First we will calculate the prime factors of 55866 and 55885.

Prime Factorization of 55866

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

55866 = 21 × 31 × 93111

Prime Factorization of 55885

Prime factors of 55885 are 5, 11177. Prime factorization of 55885 in exponential form is:

55885 = 51 × 111771

Now multiplying the highest exponent prime factors to calculate the LCM of 55866 and 55885.

LCM(55866,55885) = 21 × 31 × 93111 × 51 × 111771
LCM(55866,55885) = 3122071410