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What is the Least Common Multiple of 55846 and 55853?

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 55846 and 55853 is 445595234.

LCM(55846,55853) = 445595234

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Least Common Multiple of 55846 and 55853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55846 and 55853, than apply into the LCM equation.

GCF(55846,55853) = 7
LCM(55846,55853) = ( 55846 × 55853) / 7
LCM(55846,55853) = 3119166638 / 7
LCM(55846,55853) = 445595234

Least Common Multiple (LCM) of 55846 and 55853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55846 and 55853. First we will calculate the prime factors of 55846 and 55853.

Prime Factorization of 55846

Prime factors of 55846 are 2, 7, 3989. Prime factorization of 55846 in exponential form is:

55846 = 21 × 71 × 39891

Prime Factorization of 55853

Prime factors of 55853 are 7, 79, 101. Prime factorization of 55853 in exponential form is:

55853 = 71 × 791 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 55846 and 55853.

LCM(55846,55853) = 21 × 71 × 39891 × 791 × 1011
LCM(55846,55853) = 445595234