What is the Least Common Multiple of 5831 and 5835?
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 5831 and 5835 is 34023885.
LCM(5831,5835) = 34023885
Least Common Multiple of 5831 and 5835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5831 and 5835, than apply into the LCM equation.
GCF(5831,5835) = 1
LCM(5831,5835) = ( 5831 × 5835) / 1
LCM(5831,5835) = 34023885 / 1
LCM(5831,5835) = 34023885
Least Common Multiple (LCM) of 5831 and 5835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5831 and 5835. First we will calculate the prime factors of 5831 and 5835.
Prime Factorization of 5831
Prime factors of 5831 are 7, 17. Prime factorization of 5831 in exponential form is:
5831 = 73 × 171
Prime Factorization of 5835
Prime factors of 5835 are 3, 5, 389. Prime factorization of 5835 in exponential form is:
5835 = 31 × 51 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 5831 and 5835.
LCM(5831,5835) = 73 × 171 × 31 × 51 × 3891
LCM(5831,5835) = 34023885
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