What is the Least Common Multiple of 99559 and 99566?
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 99559 and 99566 is 9912691394.
LCM(99559,99566) = 9912691394
Least Common Multiple of 99559 and 99566 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99559 and 99566, than apply into the LCM equation.
GCF(99559,99566) = 1
LCM(99559,99566) = ( 99559 × 99566) / 1
LCM(99559,99566) = 9912691394 / 1
LCM(99559,99566) = 9912691394
Least Common Multiple (LCM) of 99559 and 99566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99559 and 99566. First we will calculate the prime factors of 99559 and 99566.
Prime Factorization of 99559
Prime factors of 99559 are 99559. Prime factorization of 99559 in exponential form is:
99559 = 995591
Prime Factorization of 99566
Prime factors of 99566 are 2, 49783. Prime factorization of 99566 in exponential form is:
99566 = 21 × 497831
Now multiplying the highest exponent prime factors to calculate the LCM of 99559 and 99566.
LCM(99559,99566) = 995591 × 21 × 497831
LCM(99559,99566) = 9912691394
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