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What is the Least Common Multiple of 12965 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 12965 and 12969 is 168143085.

LCM(12965,12969) = 168143085

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Least Common Multiple of 12965 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 12965 and 12969, than apply into the LCM equation.

GCF(12965,12969) = 1
LCM(12965,12969) = ( 12965 × 12969) / 1
LCM(12965,12969) = 168143085 / 1
LCM(12965,12969) = 168143085

Least Common Multiple (LCM) of 12965 and 12969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12965 and 12969. First we will calculate the prime factors of 12965 and 12969.

Prime Factorization of 12965

Prime factors of 12965 are 5, 2593. Prime factorization of 12965 in exponential form is:

12965 = 51 × 25931

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 12965 and 12969.

LCM(12965,12969) = 51 × 25931 × 32 × 111 × 1311
LCM(12965,12969) = 168143085