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What is the Least Common Multiple of 12928 and 12946?

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 12928 and 12946 is 83682944.

LCM(12928,12946) = 83682944

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Least Common Multiple of 12928 and 12946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12928 and 12946, than apply into the LCM equation.

GCF(12928,12946) = 2
LCM(12928,12946) = ( 12928 × 12946) / 2
LCM(12928,12946) = 167365888 / 2
LCM(12928,12946) = 83682944

Least Common Multiple (LCM) of 12928 and 12946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12928 and 12946. First we will calculate the prime factors of 12928 and 12946.

Prime Factorization of 12928

Prime factors of 12928 are 2, 101. Prime factorization of 12928 in exponential form is:

12928 = 27 × 1011

Prime Factorization of 12946

Prime factors of 12946 are 2, 6473. Prime factorization of 12946 in exponential form is:

12946 = 21 × 64731

Now multiplying the highest exponent prime factors to calculate the LCM of 12928 and 12946.

LCM(12928,12946) = 27 × 1011 × 64731
LCM(12928,12946) = 83682944