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What is the Least Common Multiple of 12708 and 12712?

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 12708 and 12712 is 40386024.

LCM(12708,12712) = 40386024

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Least Common Multiple of 12708 and 12712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12708 and 12712, than apply into the LCM equation.

GCF(12708,12712) = 4
LCM(12708,12712) = ( 12708 × 12712) / 4
LCM(12708,12712) = 161544096 / 4
LCM(12708,12712) = 40386024

Least Common Multiple (LCM) of 12708 and 12712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12708 and 12712. First we will calculate the prime factors of 12708 and 12712.

Prime Factorization of 12708

Prime factors of 12708 are 2, 3, 353. Prime factorization of 12708 in exponential form is:

12708 = 22 × 32 × 3531

Prime Factorization of 12712

Prime factors of 12712 are 2, 7, 227. Prime factorization of 12712 in exponential form is:

12712 = 23 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 12708 and 12712.

LCM(12708,12712) = 23 × 32 × 3531 × 71 × 2271
LCM(12708,12712) = 40386024