What is the Least Common Multiple of 28531 and 28537?
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 28531 and 28537 is 814189147.
LCM(28531,28537) = 814189147
Least Common Multiple of 28531 and 28537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28531 and 28537, than apply into the LCM equation.
GCF(28531,28537) = 1
LCM(28531,28537) = ( 28531 × 28537) / 1
LCM(28531,28537) = 814189147 / 1
LCM(28531,28537) = 814189147
Least Common Multiple (LCM) of 28531 and 28537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28531 and 28537. First we will calculate the prime factors of 28531 and 28537.
Prime Factorization of 28531
Prime factors of 28531 are 103, 277. Prime factorization of 28531 in exponential form is:
28531 = 1031 × 2771
Prime Factorization of 28537
Prime factors of 28537 are 28537. Prime factorization of 28537 in exponential form is:
28537 = 285371
Now multiplying the highest exponent prime factors to calculate the LCM of 28531 and 28537.
LCM(28531,28537) = 1031 × 2771 × 285371
LCM(28531,28537) = 814189147
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