What is the Least Common Multiple of 30499 and 30511?
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 30499 and 30511 is 930554989.
LCM(30499,30511) = 930554989
Least Common Multiple of 30499 and 30511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30499 and 30511, than apply into the LCM equation.
GCF(30499,30511) = 1
LCM(30499,30511) = ( 30499 × 30511) / 1
LCM(30499,30511) = 930554989 / 1
LCM(30499,30511) = 930554989
Least Common Multiple (LCM) of 30499 and 30511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30499 and 30511. First we will calculate the prime factors of 30499 and 30511.
Prime Factorization of 30499
Prime factors of 30499 are 7, 4357. Prime factorization of 30499 in exponential form is:
30499 = 71 × 43571
Prime Factorization of 30511
Prime factors of 30511 are 13, 2347. Prime factorization of 30511 in exponential form is:
30511 = 131 × 23471
Now multiplying the highest exponent prime factors to calculate the LCM of 30499 and 30511.
LCM(30499,30511) = 71 × 43571 × 131 × 23471
LCM(30499,30511) = 930554989
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