What is the Least Common Multiple of 16265 and 16273?
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 16273 is 264680345.
LCM(16265,16273) = 264680345
Least Common Multiple of 16265 and 16273 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 16273, than apply into the LCM equation.
GCF(16265,16273) = 1
LCM(16265,16273) = ( 16265 × 16273) / 1
LCM(16265,16273) = 264680345 / 1
LCM(16265,16273) = 264680345
Least Common Multiple (LCM) of 16265 and 16273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16265 and 16273. First we will calculate the prime factors of 16265 and 16273.
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 16273
Prime factors of 16273 are 16273. Prime factorization of 16273 in exponential form is:
16273 = 162731
Now multiplying the highest exponent prime factors to calculate the LCM of 16265 and 16273.
LCM(16265,16273) = 51 × 32531 × 162731
LCM(16265,16273) = 264680345
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