What is the Least Common Multiple of 99987 and 99999?
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 99987 and 99999 is 3332866671.
LCM(99987,99999) = 3332866671
Least Common Multiple of 99987 and 99999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99987 and 99999, than apply into the LCM equation.
GCF(99987,99999) = 3
LCM(99987,99999) = ( 99987 × 99999) / 3
LCM(99987,99999) = 9998600013 / 3
LCM(99987,99999) = 3332866671
Least Common Multiple (LCM) of 99987 and 99999 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99987 and 99999. First we will calculate the prime factors of 99987 and 99999.
Prime Factorization of 99987
Prime factors of 99987 are 3, 33329. Prime factorization of 99987 in exponential form is:
99987 = 31 × 333291
Prime Factorization of 99999
Prime factors of 99999 are 3, 41, 271. Prime factorization of 99999 in exponential form is:
99999 = 32 × 411 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 99987 and 99999.
LCM(99987,99999) = 32 × 333291 × 411 × 2711
LCM(99987,99999) = 3332866671