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What is the Least Common Multiple of 5716 and 5735?

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 5716 and 5735 is 32781260.

LCM(5716,5735) = 32781260

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Least Common Multiple of 5716 and 5735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5716 and 5735, than apply into the LCM equation.

GCF(5716,5735) = 1
LCM(5716,5735) = ( 5716 × 5735) / 1
LCM(5716,5735) = 32781260 / 1
LCM(5716,5735) = 32781260

Least Common Multiple (LCM) of 5716 and 5735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5716 and 5735. First we will calculate the prime factors of 5716 and 5735.

Prime Factorization of 5716

Prime factors of 5716 are 2, 1429. Prime factorization of 5716 in exponential form is:

5716 = 22 × 14291

Prime Factorization of 5735

Prime factors of 5735 are 5, 31, 37. Prime factorization of 5735 in exponential form is:

5735 = 51 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 5716 and 5735.

LCM(5716,5735) = 22 × 14291 × 51 × 311 × 371
LCM(5716,5735) = 32781260