What is the Least Common Multiple of 58083 and 58099?
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 58083 and 58099 is 3374564217.
LCM(58083,58099) = 3374564217
Least Common Multiple of 58083 and 58099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58083 and 58099, than apply into the LCM equation.
GCF(58083,58099) = 1
LCM(58083,58099) = ( 58083 × 58099) / 1
LCM(58083,58099) = 3374564217 / 1
LCM(58083,58099) = 3374564217
Least Common Multiple (LCM) of 58083 and 58099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58083 and 58099. First we will calculate the prime factors of 58083 and 58099.
Prime Factorization of 58083
Prime factors of 58083 are 3, 19, 1019. Prime factorization of 58083 in exponential form is:
58083 = 31 × 191 × 10191
Prime Factorization of 58099
Prime factors of 58099 are 58099. Prime factorization of 58099 in exponential form is:
58099 = 580991
Now multiplying the highest exponent prime factors to calculate the LCM of 58083 and 58099.
LCM(58083,58099) = 31 × 191 × 10191 × 580991
LCM(58083,58099) = 3374564217
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