What is the Least Common Multiple of 84853 and 84861?
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 84853 and 84861 is 7200710433.
LCM(84853,84861) = 7200710433
Least Common Multiple of 84853 and 84861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84853 and 84861, than apply into the LCM equation.
GCF(84853,84861) = 1
LCM(84853,84861) = ( 84853 × 84861) / 1
LCM(84853,84861) = 7200710433 / 1
LCM(84853,84861) = 7200710433
Least Common Multiple (LCM) of 84853 and 84861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84853 and 84861. First we will calculate the prime factors of 84853 and 84861.
Prime Factorization of 84853
Prime factors of 84853 are 53, 1601. Prime factorization of 84853 in exponential form is:
84853 = 531 × 16011
Prime Factorization of 84861
Prime factors of 84861 are 3, 7, 449. Prime factorization of 84861 in exponential form is:
84861 = 33 × 71 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 84853 and 84861.
LCM(84853,84861) = 531 × 16011 × 33 × 71 × 4491
LCM(84853,84861) = 7200710433
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