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What is the Least Common Multiple of 12766 and 12772?

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 12766 and 12772 is 81523676.

LCM(12766,12772) = 81523676

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Least Common Multiple of 12766 and 12772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12766 and 12772, than apply into the LCM equation.

GCF(12766,12772) = 2
LCM(12766,12772) = ( 12766 × 12772) / 2
LCM(12766,12772) = 163047352 / 2
LCM(12766,12772) = 81523676

Least Common Multiple (LCM) of 12766 and 12772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12766 and 12772. First we will calculate the prime factors of 12766 and 12772.

Prime Factorization of 12766

Prime factors of 12766 are 2, 13, 491. Prime factorization of 12766 in exponential form is:

12766 = 21 × 131 × 4911

Prime Factorization of 12772

Prime factors of 12772 are 2, 31, 103. Prime factorization of 12772 in exponential form is:

12772 = 22 × 311 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 12766 and 12772.

LCM(12766,12772) = 22 × 131 × 4911 × 311 × 1031
LCM(12766,12772) = 81523676