What is the Least Common Multiple of 28307 and 28317?
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 28307 and 28317 is 801569319.
LCM(28307,28317) = 801569319
Least Common Multiple of 28307 and 28317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28307 and 28317, than apply into the LCM equation.
GCF(28307,28317) = 1
LCM(28307,28317) = ( 28307 × 28317) / 1
LCM(28307,28317) = 801569319 / 1
LCM(28307,28317) = 801569319
Least Common Multiple (LCM) of 28307 and 28317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28307 and 28317. First we will calculate the prime factors of 28307 and 28317.
Prime Factorization of 28307
Prime factors of 28307 are 28307. Prime factorization of 28307 in exponential form is:
28307 = 283071
Prime Factorization of 28317
Prime factors of 28317 are 3, 9439. Prime factorization of 28317 in exponential form is:
28317 = 31 × 94391
Now multiplying the highest exponent prime factors to calculate the LCM of 28307 and 28317.
LCM(28307,28317) = 283071 × 31 × 94391
LCM(28307,28317) = 801569319
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