What is the Least Common Multiple of 16265 and 16284?
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 16265 and 16284 is 264859260.
LCM(16265,16284) = 264859260
Least Common Multiple of 16265 and 16284 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16265 and 16284, than apply into the LCM equation.
GCF(16265,16284) = 1
LCM(16265,16284) = ( 16265 × 16284) / 1
LCM(16265,16284) = 264859260 / 1
LCM(16265,16284) = 264859260
Least Common Multiple (LCM) of 16265 and 16284 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16265 and 16284. First we will calculate the prime factors of 16265 and 16284.
Prime Factorization of 16265
Prime factors of 16265 are 5, 3253. Prime factorization of 16265 in exponential form is:
16265 = 51 × 32531
Prime Factorization of 16284
Prime factors of 16284 are 2, 3, 23, 59. Prime factorization of 16284 in exponential form is:
16284 = 22 × 31 × 231 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 16265 and 16284.
LCM(16265,16284) = 51 × 32531 × 22 × 31 × 231 × 591
LCM(16265,16284) = 264859260
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