Least Common Multiple of 5784 and 5790

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 5790 the smallest integer that is 5581560 that is divisible by both numbers.

Least Common Multiple (LCM) of 5784 and 5790 is 5581560.

LCM(5784,5790) = 5581560

LCM of 5784 and 5790

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

LCM of:
and

Least Common Multiple of 5784 and 5790

LCM of 5784 and 5790 is 5581560

Least common multiple can be found by multiplying the highest exponent prime factors of 5784 and 5790. First we will calculate the prime factors of 5784 and 5790.

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 5790


2 5790
3 2895
5 965
193 193
1

Prime factors of 5790 are 2, 3, 5,193. Prime factorization of 5790 in exponential form is:

5790 = 21×31×51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5784 and 5790.

LCM(5784,5790) = 23×31×51×1931×2411
LCM(5784,5790) = 5581560

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 5790

List of positive integer factors of 5790 that divides 5790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790

Least Common Multiple of 5784 and 5790 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 5790, than apply into the LCM equation.

GCF(5784,5790) = 6
LCM(5784,5790) = ( 5784 × 5790) / 6
LCM(5784,5790) = 33489360 / 6
LCM(5784,5790) = 5581560

Properties of LCM 5784 and 5790

(i) The LCM of 5790 and 5784 is associative

LCM of 5784 and 5790 = LCM of 5790 and 5784

Related Least Common Multiples of 5784

Related Least Common Multiples of 5790

Frequently Asked Questions on LCM of 5784 and 5790

1. What is the LCM of 5784 and 5790?

Answer: LCM of 5784 and 5790 is 5581560.

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 5790?

Answer: Factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790. There are 16 integers that are factors of 5790. The greatest factor of 5790 is 5790.

4. How to Find the LCM of 5784 and 5790?

Answer:

Least Common Multiple of 5784 and 5790 = 5581560

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 5790

5790 = 2 x 3 x 5 x 193

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

LCM = 5581560 = 2 x 2 x 2 x 3 x 5 x 193 x 241

Step 4: Therefore, the least common multiple of 5784 and 5790 is 5581560.