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What is the Least Common Multiple of 10682 and 10696?

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 10682 and 10696 is 8161048.

LCM(10682,10696) = 8161048

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Least Common Multiple of 10682 and 10696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10682 and 10696, than apply into the LCM equation.

GCF(10682,10696) = 14
LCM(10682,10696) = ( 10682 × 10696) / 14
LCM(10682,10696) = 114254672 / 14
LCM(10682,10696) = 8161048

Least Common Multiple (LCM) of 10682 and 10696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10682 and 10696. First we will calculate the prime factors of 10682 and 10696.

Prime Factorization of 10682

Prime factors of 10682 are 2, 7, 109. Prime factorization of 10682 in exponential form is:

10682 = 21 × 72 × 1091

Prime Factorization of 10696

Prime factors of 10696 are 2, 7, 191. Prime factorization of 10696 in exponential form is:

10696 = 23 × 71 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 10682 and 10696.

LCM(10682,10696) = 23 × 72 × 1091 × 1911
LCM(10682,10696) = 8161048