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What is the Least Common Multiple of 12554 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 12554 and 12568 is 78889336.

LCM(12554,12568) = 78889336

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Least Common Multiple of 12554 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 12554 and 12568, than apply into the LCM equation.

GCF(12554,12568) = 2
LCM(12554,12568) = ( 12554 × 12568) / 2
LCM(12554,12568) = 157778672 / 2
LCM(12554,12568) = 78889336

Least Common Multiple (LCM) of 12554 and 12568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12554 and 12568. First we will calculate the prime factors of 12554 and 12568.

Prime Factorization of 12554

Prime factors of 12554 are 2, 6277. Prime factorization of 12554 in exponential form is:

12554 = 21 × 62771

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 12554 and 12568.

LCM(12554,12568) = 23 × 62771 × 15711
LCM(12554,12568) = 78889336