What is the Least Common Multiple of 28115 and 28129?
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 28115 and 28129 is 790846835.
LCM(28115,28129) = 790846835
Least Common Multiple of 28115 and 28129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28115 and 28129, than apply into the LCM equation.
GCF(28115,28129) = 1
LCM(28115,28129) = ( 28115 × 28129) / 1
LCM(28115,28129) = 790846835 / 1
LCM(28115,28129) = 790846835
Least Common Multiple (LCM) of 28115 and 28129 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28115 and 28129. First we will calculate the prime factors of 28115 and 28129.
Prime Factorization of 28115
Prime factors of 28115 are 5, 5623. Prime factorization of 28115 in exponential form is:
28115 = 51 × 56231
Prime Factorization of 28129
Prime factors of 28129 are 23, 1223. Prime factorization of 28129 in exponential form is:
28129 = 231 × 12231
Now multiplying the highest exponent prime factors to calculate the LCM of 28115 and 28129.
LCM(28115,28129) = 51 × 56231 × 231 × 12231
LCM(28115,28129) = 790846835
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