What is the Least Common Multiple of 12786 and 12793?
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 12786 and 12793 is 163571298.
LCM(12786,12793) = 163571298
Least Common Multiple of 12786 and 12793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12786 and 12793, than apply into the LCM equation.
GCF(12786,12793) = 1
LCM(12786,12793) = ( 12786 × 12793) / 1
LCM(12786,12793) = 163571298 / 1
LCM(12786,12793) = 163571298
Least Common Multiple (LCM) of 12786 and 12793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12786 and 12793. First we will calculate the prime factors of 12786 and 12793.
Prime Factorization of 12786
Prime factors of 12786 are 2, 3, 2131. Prime factorization of 12786 in exponential form is:
12786 = 21 × 31 × 21311
Prime Factorization of 12793
Prime factors of 12793 are 11, 1163. Prime factorization of 12793 in exponential form is:
12793 = 111 × 11631
Now multiplying the highest exponent prime factors to calculate the LCM of 12786 and 12793.
LCM(12786,12793) = 21 × 31 × 21311 × 111 × 11631
LCM(12786,12793) = 163571298
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