What is the Least Common Multiple of 58861 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 58861 and 58877 is 3465559097.
LCM(58861,58877) = 3465559097
Least Common Multiple of 58861 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 58861 and 58877, than apply into the LCM equation.
GCF(58861,58877) = 1
LCM(58861,58877) = ( 58861 × 58877) / 1
LCM(58861,58877) = 3465559097 / 1
LCM(58861,58877) = 3465559097
Least Common Multiple (LCM) of 58861 and 58877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58861 and 58877. First we will calculate the prime factors of 58861 and 58877.
Prime Factorization of 58861
Prime factors of 58861 are 11, 5351. Prime factorization of 58861 in exponential form is:
58861 = 111 × 53511
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 58861 and 58877.
LCM(58861,58877) = 111 × 53511 × 71 × 131 × 6471
LCM(58861,58877) = 3465559097
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