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What is the Least Common Multiple of 16116 and 16133?

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 16116 and 16133 is 15294084.

LCM(16116,16133) = 15294084

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Least Common Multiple of 16116 and 16133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16116 and 16133, than apply into the LCM equation.

GCF(16116,16133) = 17
LCM(16116,16133) = ( 16116 × 16133) / 17
LCM(16116,16133) = 259999428 / 17
LCM(16116,16133) = 15294084

Least Common Multiple (LCM) of 16116 and 16133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16116 and 16133. First we will calculate the prime factors of 16116 and 16133.

Prime Factorization of 16116

Prime factors of 16116 are 2, 3, 17, 79. Prime factorization of 16116 in exponential form is:

16116 = 22 × 31 × 171 × 791

Prime Factorization of 16133

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

16133 = 131 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 16116 and 16133.

LCM(16116,16133) = 22 × 31 × 171 × 791 × 131 × 731
LCM(16116,16133) = 15294084