What is the Least Common Multiple of 28847 and 28862?
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 28847 and 28862 is 832582114.
LCM(28847,28862) = 832582114
Least Common Multiple of 28847 and 28862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28847 and 28862, than apply into the LCM equation.
GCF(28847,28862) = 1
LCM(28847,28862) = ( 28847 × 28862) / 1
LCM(28847,28862) = 832582114 / 1
LCM(28847,28862) = 832582114
Least Common Multiple (LCM) of 28847 and 28862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28847 and 28862. First we will calculate the prime factors of 28847 and 28862.
Prime Factorization of 28847
Prime factors of 28847 are 7, 13, 317. Prime factorization of 28847 in exponential form is:
28847 = 71 × 131 × 3171
Prime Factorization of 28862
Prime factors of 28862 are 2, 14431. Prime factorization of 28862 in exponential form is:
28862 = 21 × 144311
Now multiplying the highest exponent prime factors to calculate the LCM of 28847 and 28862.
LCM(28847,28862) = 71 × 131 × 3171 × 21 × 144311
LCM(28847,28862) = 832582114
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