What is the Least Common Multiple of 28099 and 28103?
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 28099 and 28103 is 789666197.
LCM(28099,28103) = 789666197
Least Common Multiple of 28099 and 28103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28099 and 28103, than apply into the LCM equation.
GCF(28099,28103) = 1
LCM(28099,28103) = ( 28099 × 28103) / 1
LCM(28099,28103) = 789666197 / 1
LCM(28099,28103) = 789666197
Least Common Multiple (LCM) of 28099 and 28103 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28099 and 28103. First we will calculate the prime factors of 28099 and 28103.
Prime Factorization of 28099
Prime factors of 28099 are 28099. Prime factorization of 28099 in exponential form is:
28099 = 280991
Prime Factorization of 28103
Prime factors of 28103 are 157, 179. Prime factorization of 28103 in exponential form is:
28103 = 1571 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 28099 and 28103.
LCM(28099,28103) = 280991 × 1571 × 1791
LCM(28099,28103) = 789666197
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