What is the Least Common Multiple of 99983 and 99988?
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 99983 and 99988 is 9997100204.
LCM(99983,99988) = 9997100204
Least Common Multiple of 99983 and 99988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99983 and 99988, than apply into the LCM equation.
GCF(99983,99988) = 1
LCM(99983,99988) = ( 99983 × 99988) / 1
LCM(99983,99988) = 9997100204 / 1
LCM(99983,99988) = 9997100204
Least Common Multiple (LCM) of 99983 and 99988 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99983 and 99988. First we will calculate the prime factors of 99983 and 99988.
Prime Factorization of 99983
Prime factors of 99983 are 13, 7691. Prime factorization of 99983 in exponential form is:
99983 = 131 × 76911
Prime Factorization of 99988
Prime factors of 99988 are 2, 7, 3571. Prime factorization of 99988 in exponential form is:
99988 = 22 × 71 × 35711
Now multiplying the highest exponent prime factors to calculate the LCM of 99983 and 99988.
LCM(99983,99988) = 131 × 76911 × 22 × 71 × 35711
LCM(99983,99988) = 9997100204