What is the Least Common Multiple of 99984 and 99992?
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 99984 and 99992 is 1249700016.
LCM(99984,99992) = 1249700016
Least Common Multiple of 99984 and 99992 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99984 and 99992, than apply into the LCM equation.
GCF(99984,99992) = 8
LCM(99984,99992) = ( 99984 × 99992) / 8
LCM(99984,99992) = 9997600128 / 8
LCM(99984,99992) = 1249700016
Least Common Multiple (LCM) of 99984 and 99992 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99984 and 99992. First we will calculate the prime factors of 99984 and 99992.
Prime Factorization of 99984
Prime factors of 99984 are 2, 3, 2083. Prime factorization of 99984 in exponential form is:
99984 = 24 × 31 × 20831
Prime Factorization of 99992
Prime factors of 99992 are 2, 29, 431. Prime factorization of 99992 in exponential form is:
99992 = 23 × 291 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 99984 and 99992.
LCM(99984,99992) = 24 × 31 × 20831 × 291 × 4311
LCM(99984,99992) = 1249700016