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What is the Least Common Multiple of 5764 and 5781?

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 5764 and 5781 is 33321684.

LCM(5764,5781) = 33321684

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Least Common Multiple of 5764 and 5781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5764 and 5781, than apply into the LCM equation.

GCF(5764,5781) = 1
LCM(5764,5781) = ( 5764 × 5781) / 1
LCM(5764,5781) = 33321684 / 1
LCM(5764,5781) = 33321684

Least Common Multiple (LCM) of 5764 and 5781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5764 and 5781. First we will calculate the prime factors of 5764 and 5781.

Prime Factorization of 5764

Prime factors of 5764 are 2, 11, 131. Prime factorization of 5764 in exponential form is:

5764 = 22 × 111 × 1311

Prime Factorization of 5781

Prime factors of 5781 are 3, 41, 47. Prime factorization of 5781 in exponential form is:

5781 = 31 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 5764 and 5781.

LCM(5764,5781) = 22 × 111 × 1311 × 31 × 411 × 471
LCM(5764,5781) = 33321684