What is the Least Common Multiple of 5227 and 5231?
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 5227 and 5231 is 27342437.
LCM(5227,5231) = 27342437
Least Common Multiple of 5227 and 5231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5227 and 5231, than apply into the LCM equation.
GCF(5227,5231) = 1
LCM(5227,5231) = ( 5227 × 5231) / 1
LCM(5227,5231) = 27342437 / 1
LCM(5227,5231) = 27342437
Least Common Multiple (LCM) of 5227 and 5231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5227 and 5231. First we will calculate the prime factors of 5227 and 5231.
Prime Factorization of 5227
Prime factors of 5227 are 5227. Prime factorization of 5227 in exponential form is:
5227 = 52271
Prime Factorization of 5231
Prime factors of 5231 are 5231. Prime factorization of 5231 in exponential form is:
5231 = 52311
Now multiplying the highest exponent prime factors to calculate the LCM of 5227 and 5231.
LCM(5227,5231) = 52271 × 52311
LCM(5227,5231) = 27342437
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