What is the Least Common Multiple of 58913 and 58921?
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 58913 and 58921 is 3471212873.
LCM(58913,58921) = 3471212873
Least Common Multiple of 58913 and 58921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58913 and 58921, than apply into the LCM equation.
GCF(58913,58921) = 1
LCM(58913,58921) = ( 58913 × 58921) / 1
LCM(58913,58921) = 3471212873 / 1
LCM(58913,58921) = 3471212873
Least Common Multiple (LCM) of 58913 and 58921 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58913 and 58921. First we will calculate the prime factors of 58913 and 58921.
Prime Factorization of 58913
Prime factors of 58913 are 58913. Prime factorization of 58913 in exponential form is:
58913 = 589131
Prime Factorization of 58921
Prime factors of 58921 are 58921. Prime factorization of 58921 in exponential form is:
58921 = 589211
Now multiplying the highest exponent prime factors to calculate the LCM of 58913 and 58921.
LCM(58913,58921) = 589131 × 589211
LCM(58913,58921) = 3471212873
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