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What is the Least Common Multiple of 12758 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 12758 and 12774 is 81485346.

LCM(12758,12774) = 81485346

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Least Common Multiple of 12758 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 12758 and 12774, than apply into the LCM equation.

GCF(12758,12774) = 2
LCM(12758,12774) = ( 12758 × 12774) / 2
LCM(12758,12774) = 162970692 / 2
LCM(12758,12774) = 81485346

Least Common Multiple (LCM) of 12758 and 12774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12758 and 12774. First we will calculate the prime factors of 12758 and 12774.

Prime Factorization of 12758

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

12758 = 21 × 63791

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 12758 and 12774.

LCM(12758,12774) = 21 × 63791 × 31 × 21291
LCM(12758,12774) = 81485346