What is the Least Common Multiple of 58873 and 58877?
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 58873 and 58877 is 3466265621.
LCM(58873,58877) = 3466265621
Least Common Multiple of 58873 and 58877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58873 and 58877, than apply into the LCM equation.
GCF(58873,58877) = 1
LCM(58873,58877) = ( 58873 × 58877) / 1
LCM(58873,58877) = 3466265621 / 1
LCM(58873,58877) = 3466265621
Least Common Multiple (LCM) of 58873 and 58877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58873 and 58877. First we will calculate the prime factors of 58873 and 58877.
Prime Factorization of 58873
Prime factors of 58873 are 113, 521. Prime factorization of 58873 in exponential form is:
58873 = 1131 × 5211
Prime Factorization of 58877
Prime factors of 58877 are 7, 13, 647. Prime factorization of 58877 in exponential form is:
58877 = 71 × 131 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 58873 and 58877.
LCM(58873,58877) = 1131 × 5211 × 71 × 131 × 6471
LCM(58873,58877) = 3466265621
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