What is the Least Common Multiple of 12959 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 12959 and 12969 is 168065271.
LCM(12959,12969) = 168065271
Least Common Multiple of 12959 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 12959 and 12969, than apply into the LCM equation.
GCF(12959,12969) = 1
LCM(12959,12969) = ( 12959 × 12969) / 1
LCM(12959,12969) = 168065271 / 1
LCM(12959,12969) = 168065271
Least Common Multiple (LCM) of 12959 and 12969 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12959 and 12969. First we will calculate the prime factors of 12959 and 12969.
Prime Factorization of 12959
Prime factors of 12959 are 12959. Prime factorization of 12959 in exponential form is:
12959 = 129591
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 12959 and 12969.
LCM(12959,12969) = 129591 × 32 × 111 × 1311
LCM(12959,12969) = 168065271
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