Least Common Multiple of 5784 and 5787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5784 and 5787 the smallest integer that is 11157336 that is divisible by both numbers.

Least Common Multiple (LCM) of 5784 and 5787 is 11157336.

LCM(5784,5787) = 11157336

LCM of 5784 and 5787

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5784 and 5787

LCM of 5784 and 5787 is 11157336

Least common multiple can be found by multiplying the highest exponent prime factors of 5784 and 5787. First we will calculate the prime factors of 5784 and 5787.

Prime Factorization of 5784


2 5784
2 2892
2 1446
3 723
241 241
1

Prime factors of 5784 are 2, 3,241. Prime factorization of 5784 in exponential form is:

5784 = 23×31×2411

Prime Factorization of 5787


3 5787
3 1929
643 643
1

Prime factors of 5787 are 3,643. Prime factorization of 5787 in exponential form is:

5787 = 32×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 5784 and 5787.

LCM(5784,5787) = 23×32×2411×6431
LCM(5784,5787) = 11157336

Factors of 5784

List of positive integer factors of 5784 that divides 5784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 241, 482, 723, 964, 1446, 1928, 2892, 5784

Factors of 5787

List of positive integer factors of 5787 that divides 5787 without a remainder.

1, 3, 9, 643, 1929, 5787

Least Common Multiple of 5784 and 5787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5784 and 5787, than apply into the LCM equation.

GCF(5784,5787) = 3
LCM(5784,5787) = ( 5784 × 5787) / 3
LCM(5784,5787) = 33472008 / 3
LCM(5784,5787) = 11157336

Properties of LCM 5784 and 5787

(i) The LCM of 5787 and 5784 is associative

LCM of 5784 and 5787 = LCM of 5787 and 5784

Related Least Common Multiples of 5784

Related Least Common Multiples of 5787

Frequently Asked Questions on LCM of 5784 and 5787

1. What is the LCM of 5784 and 5787?

Answer: LCM of 5784 and 5787 is 11157336.

2. What are the Factors of 5784?

Answer: Factors of 5784 are 1, 2, 3, 4, 6, 8, 12, 24, 241, 482, 723, 964, 1446, 1928, 2892, 5784. There are 16 integers that are factors of 5784. The greatest factor of 5784 is 5784.

3. What are the Factors of 5787?

Answer: Factors of 5787 are 1, 3, 9, 643, 1929, 5787. There are 6 integers that are factors of 5787. The greatest factor of 5787 is 5787.

4. How to Find the LCM of 5784 and 5787?

Answer:

Least Common Multiple of 5784 and 5787 = 11157336

Step 1: Find the prime factorization of 5784

5784 = 2 x 2 x 2 x 3 x 241

Step 2: Find the prime factorization of 5787

5787 = 3 x 3 x 643

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11157336 = 2 x 2 x 2 x 3 x 3 x 241 x 643

Step 4: Therefore, the least common multiple of 5784 and 5787 is 11157336.