What is the Least Common Multiple of 84011 and 84022?
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 84011 and 84022 is 7058772242.
LCM(84011,84022) = 7058772242
Least Common Multiple of 84011 and 84022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84011 and 84022, than apply into the LCM equation.
GCF(84011,84022) = 1
LCM(84011,84022) = ( 84011 × 84022) / 1
LCM(84011,84022) = 7058772242 / 1
LCM(84011,84022) = 7058772242
Least Common Multiple (LCM) of 84011 and 84022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84011 and 84022. First we will calculate the prime factors of 84011 and 84022.
Prime Factorization of 84011
Prime factors of 84011 are 84011. Prime factorization of 84011 in exponential form is:
84011 = 840111
Prime Factorization of 84022
Prime factors of 84022 are 2, 43, 977. Prime factorization of 84022 in exponential form is:
84022 = 21 × 431 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 84011 and 84022.
LCM(84011,84022) = 840111 × 21 × 431 × 9771
LCM(84011,84022) = 7058772242
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