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What is the Least Common Multiple of 12956 and 12969?

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 12956 and 12969 is 168026364.

LCM(12956,12969) = 168026364

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Least Common Multiple of 12956 and 12969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12956 and 12969, than apply into the LCM equation.

GCF(12956,12969) = 1
LCM(12956,12969) = ( 12956 × 12969) / 1
LCM(12956,12969) = 168026364 / 1
LCM(12956,12969) = 168026364

Least Common Multiple (LCM) of 12956 and 12969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12956 and 12969. First we will calculate the prime factors of 12956 and 12969.

Prime Factorization of 12956

Prime factors of 12956 are 2, 41, 79. Prime factorization of 12956 in exponential form is:

12956 = 22 × 411 × 791

Prime Factorization of 12969

Prime factors of 12969 are 3, 11, 131. Prime factorization of 12969 in exponential form is:

12969 = 32 × 111 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 12956 and 12969.

LCM(12956,12969) = 22 × 411 × 791 × 32 × 111 × 1311
LCM(12956,12969) = 168026364