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What is the Least Common Multiple of 84848 and 84853?

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 84848 and 84853 is 7199607344.

LCM(84848,84853) = 7199607344

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Least Common Multiple of 84848 and 84853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84848 and 84853, than apply into the LCM equation.

GCF(84848,84853) = 1
LCM(84848,84853) = ( 84848 × 84853) / 1
LCM(84848,84853) = 7199607344 / 1
LCM(84848,84853) = 7199607344

Least Common Multiple (LCM) of 84848 and 84853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84848 and 84853. First we will calculate the prime factors of 84848 and 84853.

Prime Factorization of 84848

Prime factors of 84848 are 2, 5303. Prime factorization of 84848 in exponential form is:

84848 = 24 × 53031

Prime Factorization of 84853

Prime factors of 84853 are 53, 1601. Prime factorization of 84853 in exponential form is:

84853 = 531 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 84848 and 84853.

LCM(84848,84853) = 24 × 53031 × 531 × 16011
LCM(84848,84853) = 7199607344