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What is the Least Common Multiple of 55835 and 55843?

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 55835 and 55843 is 3117993905.

LCM(55835,55843) = 3117993905

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Least Common Multiple of 55835 and 55843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55835 and 55843, than apply into the LCM equation.

GCF(55835,55843) = 1
LCM(55835,55843) = ( 55835 × 55843) / 1
LCM(55835,55843) = 3117993905 / 1
LCM(55835,55843) = 3117993905

Least Common Multiple (LCM) of 55835 and 55843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55835 and 55843. First we will calculate the prime factors of 55835 and 55843.

Prime Factorization of 55835

Prime factors of 55835 are 5, 13, 859. Prime factorization of 55835 in exponential form is:

55835 = 51 × 131 × 8591

Prime Factorization of 55843

Prime factors of 55843 are 55843. Prime factorization of 55843 in exponential form is:

55843 = 558431

Now multiplying the highest exponent prime factors to calculate the LCM of 55835 and 55843.

LCM(55835,55843) = 51 × 131 × 8591 × 558431
LCM(55835,55843) = 3117993905