What is the Least Common Multiple of 98587 and 98593?
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 98587 and 98593 is 9719988091.
LCM(98587,98593) = 9719988091
Least Common Multiple of 98587 and 98593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98587 and 98593, than apply into the LCM equation.
GCF(98587,98593) = 1
LCM(98587,98593) = ( 98587 × 98593) / 1
LCM(98587,98593) = 9719988091 / 1
LCM(98587,98593) = 9719988091
Least Common Multiple (LCM) of 98587 and 98593 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98587 and 98593. First we will calculate the prime factors of 98587 and 98593.
Prime Factorization of 98587
Prime factors of 98587 are 311, 317. Prime factorization of 98587 in exponential form is:
98587 = 3111 × 3171
Prime Factorization of 98593
Prime factors of 98593 are 11, 8963. Prime factorization of 98593 in exponential form is:
98593 = 111 × 89631
Now multiplying the highest exponent prime factors to calculate the LCM of 98587 and 98593.
LCM(98587,98593) = 3111 × 3171 × 111 × 89631
LCM(98587,98593) = 9719988091
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