What is the Least Common Multiple of 35323 and 35327?
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 35323 and 35327 is 1247855621.
LCM(35323,35327) = 1247855621
Least Common Multiple of 35323 and 35327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35323 and 35327, than apply into the LCM equation.
GCF(35323,35327) = 1
LCM(35323,35327) = ( 35323 × 35327) / 1
LCM(35323,35327) = 1247855621 / 1
LCM(35323,35327) = 1247855621
Least Common Multiple (LCM) of 35323 and 35327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35323 and 35327. First we will calculate the prime factors of 35323 and 35327.
Prime Factorization of 35323
Prime factors of 35323 are 35323. Prime factorization of 35323 in exponential form is:
35323 = 353231
Prime Factorization of 35327
Prime factors of 35327 are 35327. Prime factorization of 35327 in exponential form is:
35327 = 353271
Now multiplying the highest exponent prime factors to calculate the LCM of 35323 and 35327.
LCM(35323,35327) = 353231 × 353271
LCM(35323,35327) = 1247855621
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