What is the Least Common Multiple of 58516 and 58527?
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 58516 and 58527 is 3424765932.
LCM(58516,58527) = 3424765932
Least Common Multiple of 58516 and 58527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58516 and 58527, than apply into the LCM equation.
GCF(58516,58527) = 1
LCM(58516,58527) = ( 58516 × 58527) / 1
LCM(58516,58527) = 3424765932 / 1
LCM(58516,58527) = 3424765932
Least Common Multiple (LCM) of 58516 and 58527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58516 and 58527. First we will calculate the prime factors of 58516 and 58527.
Prime Factorization of 58516
Prime factors of 58516 are 2, 14629. Prime factorization of 58516 in exponential form is:
58516 = 22 × 146291
Prime Factorization of 58527
Prime factors of 58527 are 3, 7, 929. Prime factorization of 58527 in exponential form is:
58527 = 32 × 71 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 58516 and 58527.
LCM(58516,58527) = 22 × 146291 × 32 × 71 × 9291
LCM(58516,58527) = 3424765932
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