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What is the Least Common Multiple of 55835 and 55842?

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 55842 is 3117938070.

LCM(55835,55842) = 3117938070

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Least Common Multiple of 55835 and 55842 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 55842, than apply into the LCM equation.

GCF(55835,55842) = 1
LCM(55835,55842) = ( 55835 × 55842) / 1
LCM(55835,55842) = 3117938070 / 1
LCM(55835,55842) = 3117938070

Least Common Multiple (LCM) of 55835 and 55842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55835 and 55842. First we will calculate the prime factors of 55835 and 55842.

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 55842

Prime factors of 55842 are 2, 3, 41, 227. Prime factorization of 55842 in exponential form is:

55842 = 21 × 31 × 411 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 55835 and 55842.

LCM(55835,55842) = 51 × 131 × 8591 × 21 × 31 × 411 × 2271
LCM(55835,55842) = 3117938070