What is the Least Common Multiple of 93897 and 93908?
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 93897 and 93908 is 8817679476.
LCM(93897,93908) = 8817679476
Least Common Multiple of 93897 and 93908 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93897 and 93908, than apply into the LCM equation.
GCF(93897,93908) = 1
LCM(93897,93908) = ( 93897 × 93908) / 1
LCM(93897,93908) = 8817679476 / 1
LCM(93897,93908) = 8817679476
Least Common Multiple (LCM) of 93897 and 93908 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93897 and 93908. First we will calculate the prime factors of 93897 and 93908.
Prime Factorization of 93897
Prime factors of 93897 are 3, 10433. Prime factorization of 93897 in exponential form is:
93897 = 32 × 104331
Prime Factorization of 93908
Prime factors of 93908 are 2, 17, 1381. Prime factorization of 93908 in exponential form is:
93908 = 22 × 171 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 93897 and 93908.
LCM(93897,93908) = 32 × 104331 × 22 × 171 × 13811
LCM(93897,93908) = 8817679476
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