What is the Least Common Multiple of 98859 and 98869?
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 98859 and 98869 is 9774090471.
LCM(98859,98869) = 9774090471
Least Common Multiple of 98859 and 98869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98859 and 98869, than apply into the LCM equation.
GCF(98859,98869) = 1
LCM(98859,98869) = ( 98859 × 98869) / 1
LCM(98859,98869) = 9774090471 / 1
LCM(98859,98869) = 9774090471
Least Common Multiple (LCM) of 98859 and 98869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98859 and 98869. First we will calculate the prime factors of 98859 and 98869.
Prime Factorization of 98859
Prime factors of 98859 are 3, 31, 1063. Prime factorization of 98859 in exponential form is:
98859 = 31 × 311 × 10631
Prime Factorization of 98869
Prime factors of 98869 are 98869. Prime factorization of 98869 in exponential form is:
98869 = 988691
Now multiplying the highest exponent prime factors to calculate the LCM of 98859 and 98869.
LCM(98859,98869) = 31 × 311 × 10631 × 988691
LCM(98859,98869) = 9774090471
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