What is the Least Common Multiple of 99989 and 99997?
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 99997 is 9998600033.
LCM(99989,99997) = 9998600033
Least Common Multiple of 99989 and 99997 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 99997, than apply into the LCM equation.
GCF(99989,99997) = 1
LCM(99989,99997) = ( 99989 × 99997) / 1
LCM(99989,99997) = 9998600033 / 1
LCM(99989,99997) = 9998600033
Least Common Multiple (LCM) of 99989 and 99997 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99989 and 99997. First we will calculate the prime factors of 99989 and 99997.
Prime Factorization of 99989
Prime factors of 99989 are 99989. Prime factorization of 99989 in exponential form is:
99989 = 999891
Prime Factorization of 99997
Prime factors of 99997 are 19, 277. Prime factorization of 99997 in exponential form is:
99997 = 192 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 99989 and 99997.
LCM(99989,99997) = 999891 × 192 × 2771
LCM(99989,99997) = 9998600033