What is the Least Common Multiple of 58810 and 58827?
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 58810 and 58827 is 3459615870.
LCM(58810,58827) = 3459615870
Least Common Multiple of 58810 and 58827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58810 and 58827, than apply into the LCM equation.
GCF(58810,58827) = 1
LCM(58810,58827) = ( 58810 × 58827) / 1
LCM(58810,58827) = 3459615870 / 1
LCM(58810,58827) = 3459615870
Least Common Multiple (LCM) of 58810 and 58827 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58810 and 58827. First we will calculate the prime factors of 58810 and 58827.
Prime Factorization of 58810
Prime factors of 58810 are 2, 5, 5881. Prime factorization of 58810 in exponential form is:
58810 = 21 × 51 × 58811
Prime Factorization of 58827
Prime factors of 58827 are 3, 19609. Prime factorization of 58827 in exponential form is:
58827 = 31 × 196091
Now multiplying the highest exponent prime factors to calculate the LCM of 58810 and 58827.
LCM(58810,58827) = 21 × 51 × 58811 × 31 × 196091
LCM(58810,58827) = 3459615870
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