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What is the Least Common Multiple of 16133 and 16145?

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 16133 and 16145 is 260467285.

LCM(16133,16145) = 260467285

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Least Common Multiple of 16133 and 16145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16133 and 16145, than apply into the LCM equation.

GCF(16133,16145) = 1
LCM(16133,16145) = ( 16133 × 16145) / 1
LCM(16133,16145) = 260467285 / 1
LCM(16133,16145) = 260467285

Least Common Multiple (LCM) of 16133 and 16145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16133 and 16145. First we will calculate the prime factors of 16133 and 16145.

Prime Factorization of 16133

Prime factors of 16133 are 13, 17, 73. Prime factorization of 16133 in exponential form is:

16133 = 131 × 171 × 731

Prime Factorization of 16145

Prime factors of 16145 are 5, 3229. Prime factorization of 16145 in exponential form is:

16145 = 51 × 32291

Now multiplying the highest exponent prime factors to calculate the LCM of 16133 and 16145.

LCM(16133,16145) = 131 × 171 × 731 × 51 × 32291
LCM(16133,16145) = 260467285