What is the Least Common Multiple of 28841 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 28841 and 28847 is 831976327.
LCM(28841,28847) = 831976327
Least Common Multiple of 28841 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 28841 and 28847, than apply into the LCM equation.
GCF(28841,28847) = 1
LCM(28841,28847) = ( 28841 × 28847) / 1
LCM(28841,28847) = 831976327 / 1
LCM(28841,28847) = 831976327
Least Common Multiple (LCM) of 28841 and 28847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28841 and 28847. First we will calculate the prime factors of 28841 and 28847.
Prime Factorization of 28841
Prime factors of 28841 are 151, 191. Prime factorization of 28841 in exponential form is:
28841 = 1511 × 1911
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 28841 and 28847.
LCM(28841,28847) = 1511 × 1911 × 71 × 131 × 3171
LCM(28841,28847) = 831976327
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