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What is the Least Common Multiple of 11728 and 11734?

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 11728 and 11734 is 68808176.

LCM(11728,11734) = 68808176

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Least Common Multiple of 11728 and 11734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11728 and 11734, than apply into the LCM equation.

GCF(11728,11734) = 2
LCM(11728,11734) = ( 11728 × 11734) / 2
LCM(11728,11734) = 137616352 / 2
LCM(11728,11734) = 68808176

Least Common Multiple (LCM) of 11728 and 11734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11728 and 11734. First we will calculate the prime factors of 11728 and 11734.

Prime Factorization of 11728

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

11728 = 24 × 7331

Prime Factorization of 11734

Prime factors of 11734 are 2, 5867. Prime factorization of 11734 in exponential form is:

11734 = 21 × 58671

Now multiplying the highest exponent prime factors to calculate the LCM of 11728 and 11734.

LCM(11728,11734) = 24 × 7331 × 58671
LCM(11728,11734) = 68808176