What is the Least Common Multiple of 99992 and 99998?
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 99992 and 99998 is 4999500008.
LCM(99992,99998) = 4999500008
Least Common Multiple of 99992 and 99998 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99992 and 99998, than apply into the LCM equation.
GCF(99992,99998) = 2
LCM(99992,99998) = ( 99992 × 99998) / 2
LCM(99992,99998) = 9999000016 / 2
LCM(99992,99998) = 4999500008
Least Common Multiple (LCM) of 99992 and 99998 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99992 and 99998. First we will calculate the prime factors of 99992 and 99998.
Prime Factorization of 99992
Prime factors of 99992 are 2, 29, 431. Prime factorization of 99992 in exponential form is:
99992 = 23 × 291 × 4311
Prime Factorization of 99998
Prime factors of 99998 are 2, 49999. Prime factorization of 99998 in exponential form is:
99998 = 21 × 499991
Now multiplying the highest exponent prime factors to calculate the LCM of 99992 and 99998.
LCM(99992,99998) = 23 × 291 × 4311 × 499991
LCM(99992,99998) = 4999500008