What is the Least Common Multiple of 99983 and 99987?
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 99983 and 99987 is 9997000221.
LCM(99983,99987) = 9997000221
Least Common Multiple of 99983 and 99987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99983 and 99987, than apply into the LCM equation.
GCF(99983,99987) = 1
LCM(99983,99987) = ( 99983 × 99987) / 1
LCM(99983,99987) = 9997000221 / 1
LCM(99983,99987) = 9997000221
Least Common Multiple (LCM) of 99983 and 99987 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99983 and 99987. First we will calculate the prime factors of 99983 and 99987.
Prime Factorization of 99983
Prime factors of 99983 are 13, 7691. Prime factorization of 99983 in exponential form is:
99983 = 131 × 76911
Prime Factorization of 99987
Prime factors of 99987 are 3, 33329. Prime factorization of 99987 in exponential form is:
99987 = 31 × 333291
Now multiplying the highest exponent prime factors to calculate the LCM of 99983 and 99987.
LCM(99983,99987) = 131 × 76911 × 31 × 333291
LCM(99983,99987) = 9997000221