What is the Least Common Multiple of 12927 and 12934?
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 12927 and 12934 is 167197818.
LCM(12927,12934) = 167197818
Least Common Multiple of 12927 and 12934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12927 and 12934, than apply into the LCM equation.
GCF(12927,12934) = 1
LCM(12927,12934) = ( 12927 × 12934) / 1
LCM(12927,12934) = 167197818 / 1
LCM(12927,12934) = 167197818
Least Common Multiple (LCM) of 12927 and 12934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12927 and 12934. First we will calculate the prime factors of 12927 and 12934.
Prime Factorization of 12927
Prime factors of 12927 are 3, 31, 139. Prime factorization of 12927 in exponential form is:
12927 = 31 × 311 × 1391
Prime Factorization of 12934
Prime factors of 12934 are 2, 29, 223. Prime factorization of 12934 in exponential form is:
12934 = 21 × 291 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 12927 and 12934.
LCM(12927,12934) = 31 × 311 × 1391 × 21 × 291 × 2231
LCM(12927,12934) = 167197818
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