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What is the Least Common Multiple of 12656 and 12670?

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 12656 and 12670 is 11453680.

LCM(12656,12670) = 11453680

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Least Common Multiple of 12656 and 12670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12656 and 12670, than apply into the LCM equation.

GCF(12656,12670) = 14
LCM(12656,12670) = ( 12656 × 12670) / 14
LCM(12656,12670) = 160351520 / 14
LCM(12656,12670) = 11453680

Least Common Multiple (LCM) of 12656 and 12670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12656 and 12670. First we will calculate the prime factors of 12656 and 12670.

Prime Factorization of 12656

Prime factors of 12656 are 2, 7, 113. Prime factorization of 12656 in exponential form is:

12656 = 24 × 71 × 1131

Prime Factorization of 12670

Prime factors of 12670 are 2, 5, 7, 181. Prime factorization of 12670 in exponential form is:

12670 = 21 × 51 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 12656 and 12670.

LCM(12656,12670) = 24 × 71 × 1131 × 51 × 1811
LCM(12656,12670) = 11453680