What is the Least Common Multiple of 99391 and 99404?
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 99391 and 99404 is 9879862964.
LCM(99391,99404) = 9879862964
Least Common Multiple of 99391 and 99404 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99391 and 99404, than apply into the LCM equation.
GCF(99391,99404) = 1
LCM(99391,99404) = ( 99391 × 99404) / 1
LCM(99391,99404) = 9879862964 / 1
LCM(99391,99404) = 9879862964
Least Common Multiple (LCM) of 99391 and 99404 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99391 and 99404. First we will calculate the prime factors of 99391 and 99404.
Prime Factorization of 99391
Prime factors of 99391 are 99391. Prime factorization of 99391 in exponential form is:
99391 = 993911
Prime Factorization of 99404
Prime factors of 99404 are 2, 24851. Prime factorization of 99404 in exponential form is:
99404 = 22 × 248511
Now multiplying the highest exponent prime factors to calculate the LCM of 99391 and 99404.
LCM(99391,99404) = 993911 × 22 × 248511
LCM(99391,99404) = 9879862964
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