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What is the Least Common Multiple of 11728 and 11735?

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 11735 is 137628080.

LCM(11728,11735) = 137628080

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Least Common Multiple of 11728 and 11735 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 11735, than apply into the LCM equation.

GCF(11728,11735) = 1
LCM(11728,11735) = ( 11728 × 11735) / 1
LCM(11728,11735) = 137628080 / 1
LCM(11728,11735) = 137628080

Least Common Multiple (LCM) of 11728 and 11735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11728 and 11735. First we will calculate the prime factors of 11728 and 11735.

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 11735

Prime factors of 11735 are 5, 2347. Prime factorization of 11735 in exponential form is:

11735 = 51 × 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 11728 and 11735.

LCM(11728,11735) = 24 × 7331 × 51 × 23471
LCM(11728,11735) = 137628080