What is the Least Common Multiple of 12740 and 12758?
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 12740 and 12758 is 81268460.
LCM(12740,12758) = 81268460
Least Common Multiple of 12740 and 12758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12740 and 12758, than apply into the LCM equation.
GCF(12740,12758) = 2
LCM(12740,12758) = ( 12740 × 12758) / 2
LCM(12740,12758) = 162536920 / 2
LCM(12740,12758) = 81268460
Least Common Multiple (LCM) of 12740 and 12758 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12740 and 12758. First we will calculate the prime factors of 12740 and 12758.
Prime Factorization of 12740
Prime factors of 12740 are 2, 5, 7, 13. Prime factorization of 12740 in exponential form is:
12740 = 22 × 51 × 72 × 131
Prime Factorization of 12758
Prime factors of 12758 are 2, 6379. Prime factorization of 12758 in exponential form is:
12758 = 21 × 63791
Now multiplying the highest exponent prime factors to calculate the LCM of 12740 and 12758.
LCM(12740,12758) = 22 × 51 × 72 × 131 × 63791
LCM(12740,12758) = 81268460
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