What is the Least Common Multiple of 58375 and 58389?
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 58375 and 58389 is 3408457875.
LCM(58375,58389) = 3408457875
Least Common Multiple of 58375 and 58389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58375 and 58389, than apply into the LCM equation.
GCF(58375,58389) = 1
LCM(58375,58389) = ( 58375 × 58389) / 1
LCM(58375,58389) = 3408457875 / 1
LCM(58375,58389) = 3408457875
Least Common Multiple (LCM) of 58375 and 58389 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58375 and 58389. First we will calculate the prime factors of 58375 and 58389.
Prime Factorization of 58375
Prime factors of 58375 are 5, 467. Prime factorization of 58375 in exponential form is:
58375 = 53 × 4671
Prime Factorization of 58389
Prime factors of 58389 are 3, 19463. Prime factorization of 58389 in exponential form is:
58389 = 31 × 194631
Now multiplying the highest exponent prime factors to calculate the LCM of 58375 and 58389.
LCM(58375,58389) = 53 × 4671 × 31 × 194631
LCM(58375,58389) = 3408457875
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