What is the Least Common Multiple of 99989 and 99995?
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 99989 and 99995 is 9998400055.
LCM(99989,99995) = 9998400055
Least Common Multiple of 99989 and 99995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99989 and 99995, than apply into the LCM equation.
GCF(99989,99995) = 1
LCM(99989,99995) = ( 99989 × 99995) / 1
LCM(99989,99995) = 9998400055 / 1
LCM(99989,99995) = 9998400055
Least Common Multiple (LCM) of 99989 and 99995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99989 and 99995. First we will calculate the prime factors of 99989 and 99995.
Prime Factorization of 99989
Prime factors of 99989 are 99989. Prime factorization of 99989 in exponential form is:
99989 = 999891
Prime Factorization of 99995
Prime factors of 99995 are 5, 7, 2857. Prime factorization of 99995 in exponential form is:
99995 = 51 × 71 × 28571
Now multiplying the highest exponent prime factors to calculate the LCM of 99989 and 99995.
LCM(99989,99995) = 999891 × 51 × 71 × 28571
LCM(99989,99995) = 9998400055