What is the Least Common Multiple of 58831 and 58835?
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 58831 and 58835 is 3461321885.
LCM(58831,58835) = 3461321885
Least Common Multiple of 58831 and 58835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58831 and 58835, than apply into the LCM equation.
GCF(58831,58835) = 1
LCM(58831,58835) = ( 58831 × 58835) / 1
LCM(58831,58835) = 3461321885 / 1
LCM(58831,58835) = 3461321885
Least Common Multiple (LCM) of 58831 and 58835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58831 and 58835. First we will calculate the prime factors of 58831 and 58835.
Prime Factorization of 58831
Prime factors of 58831 are 58831. Prime factorization of 58831 in exponential form is:
58831 = 588311
Prime Factorization of 58835
Prime factors of 58835 are 5, 7, 41. Prime factorization of 58835 in exponential form is:
58835 = 51 × 71 × 412
Now multiplying the highest exponent prime factors to calculate the LCM of 58831 and 58835.
LCM(58831,58835) = 588311 × 51 × 71 × 412
LCM(58831,58835) = 3461321885
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