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What is the Least Common Multiple of 12556 and 12565?

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 12565 is 157766140.

LCM(12556,12565) = 157766140

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Least Common Multiple of 12556 and 12565 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 12565, than apply into the LCM equation.

GCF(12556,12565) = 1
LCM(12556,12565) = ( 12556 × 12565) / 1
LCM(12556,12565) = 157766140 / 1
LCM(12556,12565) = 157766140

Least Common Multiple (LCM) of 12556 and 12565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12556 and 12565. First we will calculate the prime factors of 12556 and 12565.

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 12565

Prime factors of 12565 are 5, 7, 359. Prime factorization of 12565 in exponential form is:

12565 = 51 × 71 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 12556 and 12565.

LCM(12556,12565) = 22 × 431 × 731 × 51 × 71 × 3591
LCM(12556,12565) = 157766140