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What is the Least Common Multiple of 12671 and 12682?

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 12671 and 12682 is 160693622.

LCM(12671,12682) = 160693622

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Least Common Multiple of 12671 and 12682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12671 and 12682, than apply into the LCM equation.

GCF(12671,12682) = 1
LCM(12671,12682) = ( 12671 × 12682) / 1
LCM(12671,12682) = 160693622 / 1
LCM(12671,12682) = 160693622

Least Common Multiple (LCM) of 12671 and 12682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12671 and 12682. First we will calculate the prime factors of 12671 and 12682.

Prime Factorization of 12671

Prime factors of 12671 are 12671. Prime factorization of 12671 in exponential form is:

12671 = 126711

Prime Factorization of 12682

Prime factors of 12682 are 2, 17, 373. Prime factorization of 12682 in exponential form is:

12682 = 21 × 171 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 12671 and 12682.

LCM(12671,12682) = 126711 × 21 × 171 × 3731
LCM(12671,12682) = 160693622