What is the Least Common Multiple of 35327 and 35339?
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 35327 and 35339 is 1248420853.
LCM(35327,35339) = 1248420853
Least Common Multiple of 35327 and 35339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35327 and 35339, than apply into the LCM equation.
GCF(35327,35339) = 1
LCM(35327,35339) = ( 35327 × 35339) / 1
LCM(35327,35339) = 1248420853 / 1
LCM(35327,35339) = 1248420853
Least Common Multiple (LCM) of 35327 and 35339 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35327 and 35339. First we will calculate the prime factors of 35327 and 35339.
Prime Factorization of 35327
Prime factors of 35327 are 35327. Prime factorization of 35327 in exponential form is:
35327 = 353271
Prime Factorization of 35339
Prime factors of 35339 are 35339. Prime factorization of 35339 in exponential form is:
35339 = 353391
Now multiplying the highest exponent prime factors to calculate the LCM of 35327 and 35339.
LCM(35327,35339) = 353271 × 353391
LCM(35327,35339) = 1248420853
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