What is the Least Common Multiple of 98427 and 98447?
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 98427 and 98447 is 9689842869.
LCM(98427,98447) = 9689842869
Least Common Multiple of 98427 and 98447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98427 and 98447, than apply into the LCM equation.
GCF(98427,98447) = 1
LCM(98427,98447) = ( 98427 × 98447) / 1
LCM(98427,98447) = 9689842869 / 1
LCM(98427,98447) = 9689842869
Least Common Multiple (LCM) of 98427 and 98447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98427 and 98447. First we will calculate the prime factors of 98427 and 98447.
Prime Factorization of 98427
Prime factors of 98427 are 3, 7, 43, 109. Prime factorization of 98427 in exponential form is:
98427 = 31 × 71 × 431 × 1091
Prime Factorization of 98447
Prime factors of 98447 are 17, 5791. Prime factorization of 98447 in exponential form is:
98447 = 171 × 57911
Now multiplying the highest exponent prime factors to calculate the LCM of 98427 and 98447.
LCM(98427,98447) = 31 × 71 × 431 × 1091 × 171 × 57911
LCM(98427,98447) = 9689842869
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