What is the Least Common Multiple of 84418 and 84433?
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 84418 and 84433 is 7127664994.
LCM(84418,84433) = 7127664994
Least Common Multiple of 84418 and 84433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84418 and 84433, than apply into the LCM equation.
GCF(84418,84433) = 1
LCM(84418,84433) = ( 84418 × 84433) / 1
LCM(84418,84433) = 7127664994 / 1
LCM(84418,84433) = 7127664994
Least Common Multiple (LCM) of 84418 and 84433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84418 and 84433. First we will calculate the prime factors of 84418 and 84433.
Prime Factorization of 84418
Prime factors of 84418 are 2, 42209. Prime factorization of 84418 in exponential form is:
84418 = 21 × 422091
Prime Factorization of 84433
Prime factors of 84433 are 23, 3671. Prime factorization of 84433 in exponential form is:
84433 = 231 × 36711
Now multiplying the highest exponent prime factors to calculate the LCM of 84418 and 84433.
LCM(84418,84433) = 21 × 422091 × 231 × 36711
LCM(84418,84433) = 7127664994
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