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What is the Least Common Multiple of 5745 and 5749?

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 5745 and 5749 is 33028005.

LCM(5745,5749) = 33028005

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Least Common Multiple of 5745 and 5749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5745 and 5749, than apply into the LCM equation.

GCF(5745,5749) = 1
LCM(5745,5749) = ( 5745 × 5749) / 1
LCM(5745,5749) = 33028005 / 1
LCM(5745,5749) = 33028005

Least Common Multiple (LCM) of 5745 and 5749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5745 and 5749. First we will calculate the prime factors of 5745 and 5749.

Prime Factorization of 5745

Prime factors of 5745 are 3, 5, 383. Prime factorization of 5745 in exponential form is:

5745 = 31 × 51 × 3831

Prime Factorization of 5749

Prime factors of 5749 are 5749. Prime factorization of 5749 in exponential form is:

5749 = 57491

Now multiplying the highest exponent prime factors to calculate the LCM of 5745 and 5749.

LCM(5745,5749) = 31 × 51 × 3831 × 57491
LCM(5745,5749) = 33028005