What is the Least Common Multiple of 28843 and 28847?
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 28843 and 28847 is 832034021.
LCM(28843,28847) = 832034021
Least Common Multiple of 28843 and 28847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28843 and 28847, than apply into the LCM equation.
GCF(28843,28847) = 1
LCM(28843,28847) = ( 28843 × 28847) / 1
LCM(28843,28847) = 832034021 / 1
LCM(28843,28847) = 832034021
Least Common Multiple (LCM) of 28843 and 28847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28843 and 28847. First we will calculate the prime factors of 28843 and 28847.
Prime Factorization of 28843
Prime factors of 28843 are 28843. Prime factorization of 28843 in exponential form is:
28843 = 288431
Prime Factorization of 28847
Prime factors of 28847 are 7, 13, 317. Prime factorization of 28847 in exponential form is:
28847 = 71 × 131 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 28843 and 28847.
LCM(28843,28847) = 288431 × 71 × 131 × 3171
LCM(28843,28847) = 832034021
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