What is the Least Common Multiple of 58883 and 58901?
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 58883 and 58901 is 3468267583.
LCM(58883,58901) = 3468267583
Least Common Multiple of 58883 and 58901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58883 and 58901, than apply into the LCM equation.
GCF(58883,58901) = 1
LCM(58883,58901) = ( 58883 × 58901) / 1
LCM(58883,58901) = 3468267583 / 1
LCM(58883,58901) = 3468267583
Least Common Multiple (LCM) of 58883 and 58901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58883 and 58901. First we will calculate the prime factors of 58883 and 58901.
Prime Factorization of 58883
Prime factors of 58883 are 11, 53, 101. Prime factorization of 58883 in exponential form is:
58883 = 111 × 531 × 1011
Prime Factorization of 58901
Prime factors of 58901 are 58901. Prime factorization of 58901 in exponential form is:
58901 = 589011
Now multiplying the highest exponent prime factors to calculate the LCM of 58883 and 58901.
LCM(58883,58901) = 111 × 531 × 1011 × 589011
LCM(58883,58901) = 3468267583
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