What is the Least Common Multiple of 12779 and 12796?
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 12779 and 12796 is 163520084.
LCM(12779,12796) = 163520084
Least Common Multiple of 12779 and 12796 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12779 and 12796, than apply into the LCM equation.
GCF(12779,12796) = 1
LCM(12779,12796) = ( 12779 × 12796) / 1
LCM(12779,12796) = 163520084 / 1
LCM(12779,12796) = 163520084
Least Common Multiple (LCM) of 12779 and 12796 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12779 and 12796. First we will calculate the prime factors of 12779 and 12796.
Prime Factorization of 12779
Prime factors of 12779 are 13, 983. Prime factorization of 12779 in exponential form is:
12779 = 131 × 9831
Prime Factorization of 12796
Prime factors of 12796 are 2, 7, 457. Prime factorization of 12796 in exponential form is:
12796 = 22 × 71 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 12779 and 12796.
LCM(12779,12796) = 131 × 9831 × 22 × 71 × 4571
LCM(12779,12796) = 163520084
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