What is the Least Common Multiple of 12775 and 12788?
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 12775 and 12788 is 163366700.
LCM(12775,12788) = 163366700
Least Common Multiple of 12775 and 12788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12775 and 12788, than apply into the LCM equation.
GCF(12775,12788) = 1
LCM(12775,12788) = ( 12775 × 12788) / 1
LCM(12775,12788) = 163366700 / 1
LCM(12775,12788) = 163366700
Least Common Multiple (LCM) of 12775 and 12788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12775 and 12788. First we will calculate the prime factors of 12775 and 12788.
Prime Factorization of 12775
Prime factors of 12775 are 5, 7, 73. Prime factorization of 12775 in exponential form is:
12775 = 52 × 71 × 731
Prime Factorization of 12788
Prime factors of 12788 are 2, 23, 139. Prime factorization of 12788 in exponential form is:
12788 = 22 × 231 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 12775 and 12788.
LCM(12775,12788) = 52 × 71 × 731 × 22 × 231 × 1391
LCM(12775,12788) = 163366700
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