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What is the Least Common Multiple of 12694 and 12713?

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 12694 and 12713 is 161378822.

LCM(12694,12713) = 161378822

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Least Common Multiple of 12694 and 12713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12694 and 12713, than apply into the LCM equation.

GCF(12694,12713) = 1
LCM(12694,12713) = ( 12694 × 12713) / 1
LCM(12694,12713) = 161378822 / 1
LCM(12694,12713) = 161378822

Least Common Multiple (LCM) of 12694 and 12713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12694 and 12713. First we will calculate the prime factors of 12694 and 12713.

Prime Factorization of 12694

Prime factors of 12694 are 2, 11, 577. Prime factorization of 12694 in exponential form is:

12694 = 21 × 111 × 5771

Prime Factorization of 12713

Prime factors of 12713 are 12713. Prime factorization of 12713 in exponential form is:

12713 = 127131

Now multiplying the highest exponent prime factors to calculate the LCM of 12694 and 12713.

LCM(12694,12713) = 21 × 111 × 5771 × 127131
LCM(12694,12713) = 161378822