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What is the Least Common Multiple of 12604 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 12604 and 12616 is 39753016.

LCM(12604,12616) = 39753016

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Least Common Multiple of 12604 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 12604 and 12616, than apply into the LCM equation.

GCF(12604,12616) = 4
LCM(12604,12616) = ( 12604 × 12616) / 4
LCM(12604,12616) = 159012064 / 4
LCM(12604,12616) = 39753016

Least Common Multiple (LCM) of 12604 and 12616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12604 and 12616. First we will calculate the prime factors of 12604 and 12616.

Prime Factorization of 12604

Prime factors of 12604 are 2, 23, 137. Prime factorization of 12604 in exponential form is:

12604 = 22 × 231 × 1371

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 12604 and 12616.

LCM(12604,12616) = 23 × 231 × 1371 × 191 × 831
LCM(12604,12616) = 39753016