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What is the Least Common Multiple of 12556 and 12568?

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 12556 and 12568 is 39450952.

LCM(12556,12568) = 39450952

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Least Common Multiple of 12556 and 12568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12556 and 12568, than apply into the LCM equation.

GCF(12556,12568) = 4
LCM(12556,12568) = ( 12556 × 12568) / 4
LCM(12556,12568) = 157803808 / 4
LCM(12556,12568) = 39450952

Least Common Multiple (LCM) of 12556 and 12568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12556 and 12568. First we will calculate the prime factors of 12556 and 12568.

Prime Factorization of 12556

Prime factors of 12556 are 2, 43, 73. Prime factorization of 12556 in exponential form is:

12556 = 22 × 431 × 731

Prime Factorization of 12568

Prime factors of 12568 are 2, 1571. Prime factorization of 12568 in exponential form is:

12568 = 23 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 12556 and 12568.

LCM(12556,12568) = 23 × 431 × 731 × 15711
LCM(12556,12568) = 39450952