What is the Least Common Multiple of 81843 and 81847?
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 81843 and 81847 is 6698604021.
LCM(81843,81847) = 6698604021
Least Common Multiple of 81843 and 81847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81843 and 81847, than apply into the LCM equation.
GCF(81843,81847) = 1
LCM(81843,81847) = ( 81843 × 81847) / 1
LCM(81843,81847) = 6698604021 / 1
LCM(81843,81847) = 6698604021
Least Common Multiple (LCM) of 81843 and 81847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81843 and 81847. First we will calculate the prime factors of 81843 and 81847.
Prime Factorization of 81843
Prime factors of 81843 are 3, 27281. Prime factorization of 81843 in exponential form is:
81843 = 31 × 272811
Prime Factorization of 81847
Prime factors of 81847 are 81847. Prime factorization of 81847 in exponential form is:
81847 = 818471
Now multiplying the highest exponent prime factors to calculate the LCM of 81843 and 81847.
LCM(81843,81847) = 31 × 272811 × 818471
LCM(81843,81847) = 6698604021
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