What is the Least Common Multiple of 99988 and 99993?
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 99988 and 99993 is 9998100084.
LCM(99988,99993) = 9998100084
Least Common Multiple of 99988 and 99993 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99988 and 99993, than apply into the LCM equation.
GCF(99988,99993) = 1
LCM(99988,99993) = ( 99988 × 99993) / 1
LCM(99988,99993) = 9998100084 / 1
LCM(99988,99993) = 9998100084
Least Common Multiple (LCM) of 99988 and 99993 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99988 and 99993. First we will calculate the prime factors of 99988 and 99993.
Prime Factorization of 99988
Prime factors of 99988 are 2, 7, 3571. Prime factorization of 99988 in exponential form is:
99988 = 22 × 71 × 35711
Prime Factorization of 99993
Prime factors of 99993 are 3, 33331. Prime factorization of 99993 in exponential form is:
99993 = 31 × 333311
Now multiplying the highest exponent prime factors to calculate the LCM of 99988 and 99993.
LCM(99988,99993) = 22 × 71 × 35711 × 31 × 333311
LCM(99988,99993) = 9998100084