What is the Least Common Multiple of 84427 and 84447?
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 84427 and 84447 is 7129606869.
LCM(84427,84447) = 7129606869
Least Common Multiple of 84427 and 84447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84427 and 84447, than apply into the LCM equation.
GCF(84427,84447) = 1
LCM(84427,84447) = ( 84427 × 84447) / 1
LCM(84427,84447) = 7129606869 / 1
LCM(84427,84447) = 7129606869
Least Common Multiple (LCM) of 84427 and 84447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84427 and 84447. First we will calculate the prime factors of 84427 and 84447.
Prime Factorization of 84427
Prime factors of 84427 are 7, 1723. Prime factorization of 84427 in exponential form is:
84427 = 72 × 17231
Prime Factorization of 84447
Prime factors of 84447 are 3, 11, 853. Prime factorization of 84447 in exponential form is:
84447 = 32 × 111 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 84427 and 84447.
LCM(84427,84447) = 72 × 17231 × 32 × 111 × 8531
LCM(84427,84447) = 7129606869
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