What is the Least Common Multiple of 99984 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 99984 and 99995 is 9997900080.
LCM(99984,99995) = 9997900080
Least Common Multiple of 99984 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 99984 and 99995, than apply into the LCM equation.
GCF(99984,99995) = 1
LCM(99984,99995) = ( 99984 × 99995) / 1
LCM(99984,99995) = 9997900080 / 1
LCM(99984,99995) = 9997900080
Least Common Multiple (LCM) of 99984 and 99995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99984 and 99995. First we will calculate the prime factors of 99984 and 99995.
Prime Factorization of 99984
Prime factors of 99984 are 2, 3, 2083. Prime factorization of 99984 in exponential form is:
99984 = 24 × 31 × 20831
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 99984 and 99995.
LCM(99984,99995) = 24 × 31 × 20831 × 51 × 71 × 28571
LCM(99984,99995) = 9997900080