What is the Least Common Multiple of 99422 and 99439?
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 99422 and 99439 is 9886424258.
LCM(99422,99439) = 9886424258
Least Common Multiple of 99422 and 99439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99422 and 99439, than apply into the LCM equation.
GCF(99422,99439) = 1
LCM(99422,99439) = ( 99422 × 99439) / 1
LCM(99422,99439) = 9886424258 / 1
LCM(99422,99439) = 9886424258
Least Common Multiple (LCM) of 99422 and 99439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99422 and 99439. First we will calculate the prime factors of 99422 and 99439.
Prime Factorization of 99422
Prime factors of 99422 are 2, 49711. Prime factorization of 99422 in exponential form is:
99422 = 21 × 497111
Prime Factorization of 99439
Prime factors of 99439 are 99439. Prime factorization of 99439 in exponential form is:
99439 = 994391
Now multiplying the highest exponent prime factors to calculate the LCM of 99422 and 99439.
LCM(99422,99439) = 21 × 497111 × 994391
LCM(99422,99439) = 9886424258
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