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What is the Least Common Multiple of 11708 and 11728?

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 11708 and 11728 is 34327856.

LCM(11708,11728) = 34327856

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Least Common Multiple of 11708 and 11728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11708 and 11728, than apply into the LCM equation.

GCF(11708,11728) = 4
LCM(11708,11728) = ( 11708 × 11728) / 4
LCM(11708,11728) = 137311424 / 4
LCM(11708,11728) = 34327856

Least Common Multiple (LCM) of 11708 and 11728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11708 and 11728. First we will calculate the prime factors of 11708 and 11728.

Prime Factorization of 11708

Prime factors of 11708 are 2, 2927. Prime factorization of 11708 in exponential form is:

11708 = 22 × 29271

Prime Factorization of 11728

Prime factors of 11728 are 2, 733. Prime factorization of 11728 in exponential form is:

11728 = 24 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 11708 and 11728.

LCM(11708,11728) = 24 × 29271 × 7331
LCM(11708,11728) = 34327856