What is the Least Common Multiple of 12767 and 12777?
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 12767 and 12777 is 163123959.
LCM(12767,12777) = 163123959
Least Common Multiple of 12767 and 12777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12767 and 12777, than apply into the LCM equation.
GCF(12767,12777) = 1
LCM(12767,12777) = ( 12767 × 12777) / 1
LCM(12767,12777) = 163123959 / 1
LCM(12767,12777) = 163123959
Least Common Multiple (LCM) of 12767 and 12777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12767 and 12777. First we will calculate the prime factors of 12767 and 12777.
Prime Factorization of 12767
Prime factors of 12767 are 17, 751. Prime factorization of 12767 in exponential form is:
12767 = 171 × 7511
Prime Factorization of 12777
Prime factors of 12777 are 3, 4259. Prime factorization of 12777 in exponential form is:
12777 = 31 × 42591
Now multiplying the highest exponent prime factors to calculate the LCM of 12767 and 12777.
LCM(12767,12777) = 171 × 7511 × 31 × 42591
LCM(12767,12777) = 163123959
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