What is the Least Common Multiple of 98497 and 98513?
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 98497 and 98513 is 9703234961.
LCM(98497,98513) = 9703234961
Least Common Multiple of 98497 and 98513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98497 and 98513, than apply into the LCM equation.
GCF(98497,98513) = 1
LCM(98497,98513) = ( 98497 × 98513) / 1
LCM(98497,98513) = 9703234961 / 1
LCM(98497,98513) = 9703234961
Least Common Multiple (LCM) of 98497 and 98513 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98497 and 98513. First we will calculate the prime factors of 98497 and 98513.
Prime Factorization of 98497
Prime factors of 98497 are 7, 14071. Prime factorization of 98497 in exponential form is:
98497 = 71 × 140711
Prime Factorization of 98513
Prime factors of 98513 are 29, 43, 79. Prime factorization of 98513 in exponential form is:
98513 = 291 × 431 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 98497 and 98513.
LCM(98497,98513) = 71 × 140711 × 291 × 431 × 791
LCM(98497,98513) = 9703234961
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