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What is the Least Common Multiple of 12656 and 12672?

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 12672 is 10023552.

LCM(12656,12672) = 10023552

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Least Common Multiple of 12656 and 12672 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 12672, than apply into the LCM equation.

GCF(12656,12672) = 16
LCM(12656,12672) = ( 12656 × 12672) / 16
LCM(12656,12672) = 160376832 / 16
LCM(12656,12672) = 10023552

Least Common Multiple (LCM) of 12656 and 12672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12656 and 12672. First we will calculate the prime factors of 12656 and 12672.

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 12672

Prime factors of 12672 are 2, 3, 11. Prime factorization of 12672 in exponential form is:

12672 = 27 × 32 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 12656 and 12672.

LCM(12656,12672) = 27 × 71 × 1131 × 32 × 111
LCM(12656,12672) = 10023552