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What is the Least Common Multiple of 16017 and 16035?

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 16017 and 16035 is 85610865.

LCM(16017,16035) = 85610865

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Least Common Multiple of 16017 and 16035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16017 and 16035, than apply into the LCM equation.

GCF(16017,16035) = 3
LCM(16017,16035) = ( 16017 × 16035) / 3
LCM(16017,16035) = 256832595 / 3
LCM(16017,16035) = 85610865

Least Common Multiple (LCM) of 16017 and 16035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16017 and 16035. First we will calculate the prime factors of 16017 and 16035.

Prime Factorization of 16017

Prime factors of 16017 are 3, 19, 281. Prime factorization of 16017 in exponential form is:

16017 = 31 × 191 × 2811

Prime Factorization of 16035

Prime factors of 16035 are 3, 5, 1069. Prime factorization of 16035 in exponential form is:

16035 = 31 × 51 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 16017 and 16035.

LCM(16017,16035) = 31 × 191 × 2811 × 51 × 10691
LCM(16017,16035) = 85610865