What is the Least Common Multiple of 58550 and 58555?
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 58550 and 58555 is 685679050.
LCM(58550,58555) = 685679050
Least Common Multiple of 58550 and 58555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58550 and 58555, than apply into the LCM equation.
GCF(58550,58555) = 5
LCM(58550,58555) = ( 58550 × 58555) / 5
LCM(58550,58555) = 3428395250 / 5
LCM(58550,58555) = 685679050
Least Common Multiple (LCM) of 58550 and 58555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58550 and 58555. First we will calculate the prime factors of 58550 and 58555.
Prime Factorization of 58550
Prime factors of 58550 are 2, 5, 1171. Prime factorization of 58550 in exponential form is:
58550 = 21 × 52 × 11711
Prime Factorization of 58555
Prime factors of 58555 are 5, 7, 239. Prime factorization of 58555 in exponential form is:
58555 = 51 × 72 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 58550 and 58555.
LCM(58550,58555) = 21 × 52 × 11711 × 72 × 2391
LCM(58550,58555) = 685679050
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