What is the Least Common Multiple of 58168 and 58180?
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 58168 and 58180 is 846053560.
LCM(58168,58180) = 846053560
Least Common Multiple of 58168 and 58180 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58168 and 58180, than apply into the LCM equation.
GCF(58168,58180) = 4
LCM(58168,58180) = ( 58168 × 58180) / 4
LCM(58168,58180) = 3384214240 / 4
LCM(58168,58180) = 846053560
Least Common Multiple (LCM) of 58168 and 58180 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58168 and 58180. First we will calculate the prime factors of 58168 and 58180.
Prime Factorization of 58168
Prime factors of 58168 are 2, 11, 661. Prime factorization of 58168 in exponential form is:
58168 = 23 × 111 × 6611
Prime Factorization of 58180
Prime factors of 58180 are 2, 5, 2909. Prime factorization of 58180 in exponential form is:
58180 = 22 × 51 × 29091
Now multiplying the highest exponent prime factors to calculate the LCM of 58168 and 58180.
LCM(58168,58180) = 23 × 111 × 6611 × 51 × 29091
LCM(58168,58180) = 846053560
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