What is the Least Common Multiple of 12774 and 12792?
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 12774 and 12792 is 27234168.
LCM(12774,12792) = 27234168
Least Common Multiple of 12774 and 12792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12774 and 12792, than apply into the LCM equation.
GCF(12774,12792) = 6
LCM(12774,12792) = ( 12774 × 12792) / 6
LCM(12774,12792) = 163405008 / 6
LCM(12774,12792) = 27234168
Least Common Multiple (LCM) of 12774 and 12792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12774 and 12792. First we will calculate the prime factors of 12774 and 12792.
Prime Factorization of 12774
Prime factors of 12774 are 2, 3, 2129. Prime factorization of 12774 in exponential form is:
12774 = 21 × 31 × 21291
Prime Factorization of 12792
Prime factors of 12792 are 2, 3, 13, 41. Prime factorization of 12792 in exponential form is:
12792 = 23 × 31 × 131 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 12774 and 12792.
LCM(12774,12792) = 23 × 31 × 21291 × 131 × 411
LCM(12774,12792) = 27234168
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