What is the Least Common Multiple of 99556 and 99563?
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 99556 and 99563 is 9912094028.
LCM(99556,99563) = 9912094028
Least Common Multiple of 99556 and 99563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99556 and 99563, than apply into the LCM equation.
GCF(99556,99563) = 1
LCM(99556,99563) = ( 99556 × 99563) / 1
LCM(99556,99563) = 9912094028 / 1
LCM(99556,99563) = 9912094028
Least Common Multiple (LCM) of 99556 and 99563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99556 and 99563. First we will calculate the prime factors of 99556 and 99563.
Prime Factorization of 99556
Prime factors of 99556 are 2, 24889. Prime factorization of 99556 in exponential form is:
99556 = 22 × 248891
Prime Factorization of 99563
Prime factors of 99563 are 99563. Prime factorization of 99563 in exponential form is:
99563 = 995631
Now multiplying the highest exponent prime factors to calculate the LCM of 99556 and 99563.
LCM(99556,99563) = 22 × 248891 × 995631
LCM(99556,99563) = 9912094028
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