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What is the Least Common Multiple of 12699 and 12711?

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 12699 and 12711 is 53805663.

LCM(12699,12711) = 53805663

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Least Common Multiple of 12699 and 12711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12699 and 12711, than apply into the LCM equation.

GCF(12699,12711) = 3
LCM(12699,12711) = ( 12699 × 12711) / 3
LCM(12699,12711) = 161416989 / 3
LCM(12699,12711) = 53805663

Least Common Multiple (LCM) of 12699 and 12711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12699 and 12711. First we will calculate the prime factors of 12699 and 12711.

Prime Factorization of 12699

Prime factors of 12699 are 3, 17, 83. Prime factorization of 12699 in exponential form is:

12699 = 32 × 171 × 831

Prime Factorization of 12711

Prime factors of 12711 are 3, 19, 223. Prime factorization of 12711 in exponential form is:

12711 = 31 × 191 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 12699 and 12711.

LCM(12699,12711) = 32 × 171 × 831 × 191 × 2231
LCM(12699,12711) = 53805663