What is the Least Common Multiple of 98839 and 98849?
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 98839 and 98849 is 9770136311.
LCM(98839,98849) = 9770136311
Least Common Multiple of 98839 and 98849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98839 and 98849, than apply into the LCM equation.
GCF(98839,98849) = 1
LCM(98839,98849) = ( 98839 × 98849) / 1
LCM(98839,98849) = 9770136311 / 1
LCM(98839,98849) = 9770136311
Least Common Multiple (LCM) of 98839 and 98849 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98839 and 98849. First we will calculate the prime factors of 98839 and 98849.
Prime Factorization of 98839
Prime factors of 98839 are 13, 7603. Prime factorization of 98839 in exponential form is:
98839 = 131 × 76031
Prime Factorization of 98849
Prime factors of 98849 are 98849. Prime factorization of 98849 in exponential form is:
98849 = 988491
Now multiplying the highest exponent prime factors to calculate the LCM of 98839 and 98849.
LCM(98839,98849) = 131 × 76031 × 988491
LCM(98839,98849) = 9770136311
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