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What is the Least Common Multiple of 5755 and 5774?

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 5755 and 5774 is 33229370.

LCM(5755,5774) = 33229370

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Least Common Multiple of 5755 and 5774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5755 and 5774, than apply into the LCM equation.

GCF(5755,5774) = 1
LCM(5755,5774) = ( 5755 × 5774) / 1
LCM(5755,5774) = 33229370 / 1
LCM(5755,5774) = 33229370

Least Common Multiple (LCM) of 5755 and 5774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5755 and 5774. First we will calculate the prime factors of 5755 and 5774.

Prime Factorization of 5755

Prime factors of 5755 are 5, 1151. Prime factorization of 5755 in exponential form is:

5755 = 51 × 11511

Prime Factorization of 5774

Prime factors of 5774 are 2, 2887. Prime factorization of 5774 in exponential form is:

5774 = 21 × 28871

Now multiplying the highest exponent prime factors to calculate the LCM of 5755 and 5774.

LCM(5755,5774) = 51 × 11511 × 21 × 28871
LCM(5755,5774) = 33229370