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What is the Least Common Multiple of 12743 and 12758?

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 12743 and 12758 is 162575194.

LCM(12743,12758) = 162575194

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Least Common Multiple of 12743 and 12758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12743 and 12758, than apply into the LCM equation.

GCF(12743,12758) = 1
LCM(12743,12758) = ( 12743 × 12758) / 1
LCM(12743,12758) = 162575194 / 1
LCM(12743,12758) = 162575194

Least Common Multiple (LCM) of 12743 and 12758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12743 and 12758. First we will calculate the prime factors of 12743 and 12758.

Prime Factorization of 12743

Prime factors of 12743 are 12743. Prime factorization of 12743 in exponential form is:

12743 = 127431

Prime Factorization of 12758

Prime factors of 12758 are 2, 6379. Prime factorization of 12758 in exponential form is:

12758 = 21 × 63791

Now multiplying the highest exponent prime factors to calculate the LCM of 12743 and 12758.

LCM(12743,12758) = 127431 × 21 × 63791
LCM(12743,12758) = 162575194