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What is the Least Common Multiple of 55835 and 55849?

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 55849 is 3118328915.

LCM(55835,55849) = 3118328915

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Least Common Multiple of 55835 and 55849 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 55849, than apply into the LCM equation.

GCF(55835,55849) = 1
LCM(55835,55849) = ( 55835 × 55849) / 1
LCM(55835,55849) = 3118328915 / 1
LCM(55835,55849) = 3118328915

Least Common Multiple (LCM) of 55835 and 55849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55835 and 55849. First we will calculate the prime factors of 55835 and 55849.

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 55849

Prime factors of 55849 are 55849. Prime factorization of 55849 in exponential form is:

55849 = 558491

Now multiplying the highest exponent prime factors to calculate the LCM of 55835 and 55849.

LCM(55835,55849) = 51 × 131 × 8591 × 558491
LCM(55835,55849) = 3118328915