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What is the Least Common Multiple of 16059 and 16073?

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 16059 and 16073 is 258116307.

LCM(16059,16073) = 258116307

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Least Common Multiple of 16059 and 16073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16059 and 16073, than apply into the LCM equation.

GCF(16059,16073) = 1
LCM(16059,16073) = ( 16059 × 16073) / 1
LCM(16059,16073) = 258116307 / 1
LCM(16059,16073) = 258116307

Least Common Multiple (LCM) of 16059 and 16073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16059 and 16073. First we will calculate the prime factors of 16059 and 16073.

Prime Factorization of 16059

Prime factors of 16059 are 3, 53, 101. Prime factorization of 16059 in exponential form is:

16059 = 31 × 531 × 1011

Prime Factorization of 16073

Prime factors of 16073 are 16073. Prime factorization of 16073 in exponential form is:

16073 = 160731

Now multiplying the highest exponent prime factors to calculate the LCM of 16059 and 16073.

LCM(16059,16073) = 31 × 531 × 1011 × 160731
LCM(16059,16073) = 258116307