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What is the Least Common Multiple of 12606 and 12616?

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 12606 and 12616 is 79518648.

LCM(12606,12616) = 79518648

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Least Common Multiple of 12606 and 12616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12606 and 12616, than apply into the LCM equation.

GCF(12606,12616) = 2
LCM(12606,12616) = ( 12606 × 12616) / 2
LCM(12606,12616) = 159037296 / 2
LCM(12606,12616) = 79518648

Least Common Multiple (LCM) of 12606 and 12616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12606 and 12616. First we will calculate the prime factors of 12606 and 12616.

Prime Factorization of 12606

Prime factors of 12606 are 2, 3, 11, 191. Prime factorization of 12606 in exponential form is:

12606 = 21 × 31 × 111 × 1911

Prime Factorization of 12616

Prime factors of 12616 are 2, 19, 83. Prime factorization of 12616 in exponential form is:

12616 = 23 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 12606 and 12616.

LCM(12606,12616) = 23 × 31 × 111 × 1911 × 191 × 831
LCM(12606,12616) = 79518648