What is the Least Common Multiple of 12782 and 12794?
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 12782 and 12794 is 81766454.
LCM(12782,12794) = 81766454
Least Common Multiple of 12782 and 12794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12782 and 12794, than apply into the LCM equation.
GCF(12782,12794) = 2
LCM(12782,12794) = ( 12782 × 12794) / 2
LCM(12782,12794) = 163532908 / 2
LCM(12782,12794) = 81766454
Least Common Multiple (LCM) of 12782 and 12794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12782 and 12794. First we will calculate the prime factors of 12782 and 12794.
Prime Factorization of 12782
Prime factors of 12782 are 2, 7, 11, 83. Prime factorization of 12782 in exponential form is:
12782 = 21 × 71 × 111 × 831
Prime Factorization of 12794
Prime factors of 12794 are 2, 6397. Prime factorization of 12794 in exponential form is:
12794 = 21 × 63971
Now multiplying the highest exponent prime factors to calculate the LCM of 12782 and 12794.
LCM(12782,12794) = 21 × 71 × 111 × 831 × 63971
LCM(12782,12794) = 81766454
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