What is the Least Common Multiple of 99986 and 99991?
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 99986 and 99991 is 9997700126.
LCM(99986,99991) = 9997700126
Least Common Multiple of 99986 and 99991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99986 and 99991, than apply into the LCM equation.
GCF(99986,99991) = 1
LCM(99986,99991) = ( 99986 × 99991) / 1
LCM(99986,99991) = 9997700126 / 1
LCM(99986,99991) = 9997700126
Least Common Multiple (LCM) of 99986 and 99991 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99986 and 99991. First we will calculate the prime factors of 99986 and 99991.
Prime Factorization of 99986
Prime factors of 99986 are 2, 49993. Prime factorization of 99986 in exponential form is:
99986 = 21 × 499931
Prime Factorization of 99991
Prime factors of 99991 are 99991. Prime factorization of 99991 in exponential form is:
99991 = 999911
Now multiplying the highest exponent prime factors to calculate the LCM of 99986 and 99991.
LCM(99986,99991) = 21 × 499931 × 999911
LCM(99986,99991) = 9997700126