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What is the Least Common Multiple of 12696 and 12703?

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 12696 and 12703 is 161277288.

LCM(12696,12703) = 161277288

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Least Common Multiple of 12696 and 12703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12696 and 12703, than apply into the LCM equation.

GCF(12696,12703) = 1
LCM(12696,12703) = ( 12696 × 12703) / 1
LCM(12696,12703) = 161277288 / 1
LCM(12696,12703) = 161277288

Least Common Multiple (LCM) of 12696 and 12703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12696 and 12703. First we will calculate the prime factors of 12696 and 12703.

Prime Factorization of 12696

Prime factors of 12696 are 2, 3, 23. Prime factorization of 12696 in exponential form is:

12696 = 23 × 31 × 232

Prime Factorization of 12703

Prime factors of 12703 are 12703. Prime factorization of 12703 in exponential form is:

12703 = 127031

Now multiplying the highest exponent prime factors to calculate the LCM of 12696 and 12703.

LCM(12696,12703) = 23 × 31 × 232 × 127031
LCM(12696,12703) = 161277288