What is the Least Common Multiple of 28579 and 28599?
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 28579 and 28599 is 817330821.
LCM(28579,28599) = 817330821
Least Common Multiple of 28579 and 28599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28579 and 28599, than apply into the LCM equation.
GCF(28579,28599) = 1
LCM(28579,28599) = ( 28579 × 28599) / 1
LCM(28579,28599) = 817330821 / 1
LCM(28579,28599) = 817330821
Least Common Multiple (LCM) of 28579 and 28599 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28579 and 28599. First we will calculate the prime factors of 28579 and 28599.
Prime Factorization of 28579
Prime factors of 28579 are 28579. Prime factorization of 28579 in exponential form is:
28579 = 285791
Prime Factorization of 28599
Prime factors of 28599 are 3, 9533. Prime factorization of 28599 in exponential form is:
28599 = 31 × 95331
Now multiplying the highest exponent prime factors to calculate the LCM of 28579 and 28599.
LCM(28579,28599) = 285791 × 31 × 95331
LCM(28579,28599) = 817330821
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