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What is the Least Common Multiple of 5776 and 5791?

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 5776 and 5791 is 33448816.

LCM(5776,5791) = 33448816

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Least Common Multiple of 5776 and 5791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5776 and 5791, than apply into the LCM equation.

GCF(5776,5791) = 1
LCM(5776,5791) = ( 5776 × 5791) / 1
LCM(5776,5791) = 33448816 / 1
LCM(5776,5791) = 33448816

Least Common Multiple (LCM) of 5776 and 5791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5776 and 5791. First we will calculate the prime factors of 5776 and 5791.

Prime Factorization of 5776

Prime factors of 5776 are 2, 19. Prime factorization of 5776 in exponential form is:

5776 = 24 × 192

Prime Factorization of 5791

Prime factors of 5791 are 5791. Prime factorization of 5791 in exponential form is:

5791 = 57911

Now multiplying the highest exponent prime factors to calculate the LCM of 5776 and 5791.

LCM(5776,5791) = 24 × 192 × 57911
LCM(5776,5791) = 33448816