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What is the Least Common Multiple of 16257 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 16257 and 16273 is 264550161.

LCM(16257,16273) = 264550161

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Least Common Multiple of 16257 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 16257 and 16273, than apply into the LCM equation.

GCF(16257,16273) = 1
LCM(16257,16273) = ( 16257 × 16273) / 1
LCM(16257,16273) = 264550161 / 1
LCM(16257,16273) = 264550161

Least Common Multiple (LCM) of 16257 and 16273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16257 and 16273. First we will calculate the prime factors of 16257 and 16273.

Prime Factorization of 16257

Prime factors of 16257 are 3, 5419. Prime factorization of 16257 in exponential form is:

16257 = 31 × 54191

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 16257 and 16273.

LCM(16257,16273) = 31 × 54191 × 162731
LCM(16257,16273) = 264550161