What is the Least Common Multiple of 58114 and 58134?
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 58114 and 58134 is 1689199638.
LCM(58114,58134) = 1689199638
Least Common Multiple of 58114 and 58134 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58114 and 58134, than apply into the LCM equation.
GCF(58114,58134) = 2
LCM(58114,58134) = ( 58114 × 58134) / 2
LCM(58114,58134) = 3378399276 / 2
LCM(58114,58134) = 1689199638
Least Common Multiple (LCM) of 58114 and 58134 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58114 and 58134. First we will calculate the prime factors of 58114 and 58134.
Prime Factorization of 58114
Prime factors of 58114 are 2, 7, 593. Prime factorization of 58114 in exponential form is:
58114 = 21 × 72 × 5931
Prime Factorization of 58134
Prime factors of 58134 are 2, 3, 9689. Prime factorization of 58134 in exponential form is:
58134 = 21 × 31 × 96891
Now multiplying the highest exponent prime factors to calculate the LCM of 58114 and 58134.
LCM(58114,58134) = 21 × 72 × 5931 × 31 × 96891
LCM(58114,58134) = 1689199638
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