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What is the Least Common Multiple of 5724 and 5729?

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 5724 and 5729 is 32792796.

LCM(5724,5729) = 32792796

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Least Common Multiple of 5724 and 5729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5724 and 5729, than apply into the LCM equation.

GCF(5724,5729) = 1
LCM(5724,5729) = ( 5724 × 5729) / 1
LCM(5724,5729) = 32792796 / 1
LCM(5724,5729) = 32792796

Least Common Multiple (LCM) of 5724 and 5729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5724 and 5729. First we will calculate the prime factors of 5724 and 5729.

Prime Factorization of 5724

Prime factors of 5724 are 2, 3, 53. Prime factorization of 5724 in exponential form is:

5724 = 22 × 33 × 531

Prime Factorization of 5729

Prime factors of 5729 are 17, 337. Prime factorization of 5729 in exponential form is:

5729 = 171 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 5724 and 5729.

LCM(5724,5729) = 22 × 33 × 531 × 171 × 3371
LCM(5724,5729) = 32792796