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What is the Least Common Multiple of 12741 and 12755?

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 12741 and 12755 is 162511455.

LCM(12741,12755) = 162511455

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Least Common Multiple of 12741 and 12755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12741 and 12755, than apply into the LCM equation.

GCF(12741,12755) = 1
LCM(12741,12755) = ( 12741 × 12755) / 1
LCM(12741,12755) = 162511455 / 1
LCM(12741,12755) = 162511455

Least Common Multiple (LCM) of 12741 and 12755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12741 and 12755. First we will calculate the prime factors of 12741 and 12755.

Prime Factorization of 12741

Prime factors of 12741 are 3, 31, 137. Prime factorization of 12741 in exponential form is:

12741 = 31 × 311 × 1371

Prime Factorization of 12755

Prime factors of 12755 are 5, 2551. Prime factorization of 12755 in exponential form is:

12755 = 51 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 12741 and 12755.

LCM(12741,12755) = 31 × 311 × 1371 × 51 × 25511
LCM(12741,12755) = 162511455