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What is the Least Common Multiple of 55814 and 55829?

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 55814 and 55829 is 3116039806.

LCM(55814,55829) = 3116039806

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Least Common Multiple of 55814 and 55829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55814 and 55829, than apply into the LCM equation.

GCF(55814,55829) = 1
LCM(55814,55829) = ( 55814 × 55829) / 1
LCM(55814,55829) = 3116039806 / 1
LCM(55814,55829) = 3116039806

Least Common Multiple (LCM) of 55814 and 55829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55814 and 55829. First we will calculate the prime factors of 55814 and 55829.

Prime Factorization of 55814

Prime factors of 55814 are 2, 11, 43, 59. Prime factorization of 55814 in exponential form is:

55814 = 21 × 111 × 431 × 591

Prime Factorization of 55829

Prime factors of 55829 are 55829. Prime factorization of 55829 in exponential form is:

55829 = 558291

Now multiplying the highest exponent prime factors to calculate the LCM of 55814 and 55829.

LCM(55814,55829) = 21 × 111 × 431 × 591 × 558291
LCM(55814,55829) = 3116039806