What is the Least Common Multiple of 99985 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 99985 and 99992 is 9997700120.
LCM(99985,99992) = 9997700120
Least Common Multiple of 99985 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 99985 and 99992, than apply into the LCM equation.
GCF(99985,99992) = 1
LCM(99985,99992) = ( 99985 × 99992) / 1
LCM(99985,99992) = 9997700120 / 1
LCM(99985,99992) = 9997700120
Least Common Multiple (LCM) of 99985 and 99992 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99985 and 99992. First we will calculate the prime factors of 99985 and 99992.
Prime Factorization of 99985
Prime factors of 99985 are 5, 19997. Prime factorization of 99985 in exponential form is:
99985 = 51 × 199971
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 99985 and 99992.
LCM(99985,99992) = 51 × 199971 × 23 × 291 × 4311
LCM(99985,99992) = 9997700120