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What is the Least Common Multiple of 5734 and 5741?

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 5734 and 5741 is 32918894.

LCM(5734,5741) = 32918894

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Least Common Multiple of 5734 and 5741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5734 and 5741, than apply into the LCM equation.

GCF(5734,5741) = 1
LCM(5734,5741) = ( 5734 × 5741) / 1
LCM(5734,5741) = 32918894 / 1
LCM(5734,5741) = 32918894

Least Common Multiple (LCM) of 5734 and 5741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5734 and 5741. First we will calculate the prime factors of 5734 and 5741.

Prime Factorization of 5734

Prime factors of 5734 are 2, 47, 61. Prime factorization of 5734 in exponential form is:

5734 = 21 × 471 × 611

Prime Factorization of 5741

Prime factors of 5741 are 5741. Prime factorization of 5741 in exponential form is:

5741 = 57411

Now multiplying the highest exponent prime factors to calculate the LCM of 5734 and 5741.

LCM(5734,5741) = 21 × 471 × 611 × 57411
LCM(5734,5741) = 32918894