What is the Least Common Multiple of 12777 and 12791?
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 12777 and 12791 is 163430607.
LCM(12777,12791) = 163430607
Least Common Multiple of 12777 and 12791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12777 and 12791, than apply into the LCM equation.
GCF(12777,12791) = 1
LCM(12777,12791) = ( 12777 × 12791) / 1
LCM(12777,12791) = 163430607 / 1
LCM(12777,12791) = 163430607
Least Common Multiple (LCM) of 12777 and 12791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12777 and 12791. First we will calculate the prime factors of 12777 and 12791.
Prime Factorization of 12777
Prime factors of 12777 are 3, 4259. Prime factorization of 12777 in exponential form is:
12777 = 31 × 42591
Prime Factorization of 12791
Prime factors of 12791 are 12791. Prime factorization of 12791 in exponential form is:
12791 = 127911
Now multiplying the highest exponent prime factors to calculate the LCM of 12777 and 12791.
LCM(12777,12791) = 31 × 42591 × 127911
LCM(12777,12791) = 163430607
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