What is the Least Common Multiple of 58303 and 58323?
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 58303 and 58323 is 3400405869.
LCM(58303,58323) = 3400405869
Least Common Multiple of 58303 and 58323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58303 and 58323, than apply into the LCM equation.
GCF(58303,58323) = 1
LCM(58303,58323) = ( 58303 × 58323) / 1
LCM(58303,58323) = 3400405869 / 1
LCM(58303,58323) = 3400405869
Least Common Multiple (LCM) of 58303 and 58323 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58303 and 58323. First we will calculate the prime factors of 58303 and 58323.
Prime Factorization of 58303
Prime factors of 58303 are 7, 8329. Prime factorization of 58303 in exponential form is:
58303 = 71 × 83291
Prime Factorization of 58323
Prime factors of 58323 are 3, 19441. Prime factorization of 58323 in exponential form is:
58323 = 31 × 194411
Now multiplying the highest exponent prime factors to calculate the LCM of 58303 and 58323.
LCM(58303,58323) = 71 × 83291 × 31 × 194411
LCM(58303,58323) = 3400405869
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