What is the Least Common Multiple of 12755 and 12774?
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 12755 and 12774 is 162932370.
LCM(12755,12774) = 162932370
Least Common Multiple of 12755 and 12774 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12755 and 12774, than apply into the LCM equation.
GCF(12755,12774) = 1
LCM(12755,12774) = ( 12755 × 12774) / 1
LCM(12755,12774) = 162932370 / 1
LCM(12755,12774) = 162932370
Least Common Multiple (LCM) of 12755 and 12774 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12755 and 12774. First we will calculate the prime factors of 12755 and 12774.
Prime Factorization of 12755
Prime factors of 12755 are 5, 2551. Prime factorization of 12755 in exponential form is:
12755 = 51 × 25511
Prime Factorization of 12774
Prime factors of 12774 are 2, 3, 2129. Prime factorization of 12774 in exponential form is:
12774 = 21 × 31 × 21291
Now multiplying the highest exponent prime factors to calculate the LCM of 12755 and 12774.
LCM(12755,12774) = 51 × 25511 × 21 × 31 × 21291
LCM(12755,12774) = 162932370
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