What is the Least Common Multiple of 28813 and 28823?
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 28813 and 28823 is 830477099.
LCM(28813,28823) = 830477099
Least Common Multiple of 28813 and 28823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28813 and 28823, than apply into the LCM equation.
GCF(28813,28823) = 1
LCM(28813,28823) = ( 28813 × 28823) / 1
LCM(28813,28823) = 830477099 / 1
LCM(28813,28823) = 830477099
Least Common Multiple (LCM) of 28813 and 28823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28813 and 28823. First we will calculate the prime factors of 28813 and 28823.
Prime Factorization of 28813
Prime factors of 28813 are 28813. Prime factorization of 28813 in exponential form is:
28813 = 288131
Prime Factorization of 28823
Prime factors of 28823 are 19, 37, 41. Prime factorization of 28823 in exponential form is:
28823 = 191 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 28813 and 28823.
LCM(28813,28823) = 288131 × 191 × 371 × 411
LCM(28813,28823) = 830477099
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