What is the Least Common Multiple of 58821 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 58821 and 58827 is 1153420989.
LCM(58821,58827) = 1153420989
Least Common Multiple of 58821 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 58821 and 58827, than apply into the LCM equation.
GCF(58821,58827) = 3
LCM(58821,58827) = ( 58821 × 58827) / 3
LCM(58821,58827) = 3460262967 / 3
LCM(58821,58827) = 1153420989
Least Common Multiple (LCM) of 58821 and 58827 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58821 and 58827. First we will calculate the prime factors of 58821 and 58827.
Prime Factorization of 58821
Prime factors of 58821 are 3, 7, 2801. Prime factorization of 58821 in exponential form is:
58821 = 31 × 71 × 28011
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 58821 and 58827.
LCM(58821,58827) = 31 × 71 × 28011 × 196091
LCM(58821,58827) = 1153420989
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