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What is the Least Common Multiple of 16065 and 16081?

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 16065 and 16081 is 258341265.

LCM(16065,16081) = 258341265

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Least Common Multiple of 16065 and 16081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16065 and 16081, than apply into the LCM equation.

GCF(16065,16081) = 1
LCM(16065,16081) = ( 16065 × 16081) / 1
LCM(16065,16081) = 258341265 / 1
LCM(16065,16081) = 258341265

Least Common Multiple (LCM) of 16065 and 16081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16065 and 16081. First we will calculate the prime factors of 16065 and 16081.

Prime Factorization of 16065

Prime factors of 16065 are 3, 5, 7, 17. Prime factorization of 16065 in exponential form is:

16065 = 33 × 51 × 71 × 171

Prime Factorization of 16081

Prime factors of 16081 are 13, 1237. Prime factorization of 16081 in exponential form is:

16081 = 131 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 16065 and 16081.

LCM(16065,16081) = 33 × 51 × 71 × 171 × 131 × 12371
LCM(16065,16081) = 258341265