Least Common Multiple of 5777 and 5784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5777 and 5784 the smallest integer that is 33414168 that is divisible by both numbers.

Least Common Multiple (LCM) of 5777 and 5784 is 33414168.

LCM(5777,5784) = 33414168

LCM of 5777 and 5784

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

LCM of:
and

Least Common Multiple of 5777 and 5784

LCM of 5777 and 5784 is 33414168

Least common multiple can be found by multiplying the highest exponent prime factors of 5777 and 5784. First we will calculate the prime factors of 5777 and 5784.

Prime Factorization of 5777


53 5777
109 109
1

Prime factors of 5777 are 53,109. Prime factorization of 5777 in exponential form is:

5777 = 531×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5777 and 5784.

LCM(5777,5784) = 23×31×531×1091×2411
LCM(5777,5784) = 33414168

Factors of 5777

List of positive integer factors of 5777 that divides 5777 without a remainder.

1, 53, 109, 5777

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

Least Common Multiple of 5777 and 5784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5777 and 5784, than apply into the LCM equation.

GCF(5777,5784) = 1
LCM(5777,5784) = ( 5777 × 5784) / 1
LCM(5777,5784) = 33414168 / 1
LCM(5777,5784) = 33414168

Properties of LCM 5777 and 5784

(i) The LCM of 5784 and 5777 is associative

LCM of 5777 and 5784 = LCM of 5784 and 5777

Related Least Common Multiples of 5777

Related Least Common Multiples of 5784

Frequently Asked Questions on LCM of 5777 and 5784

1. What is the LCM of 5777 and 5784?

Answer: LCM of 5777 and 5784 is 33414168.

2. What are the Factors of 5777?

Answer: Factors of 5777 are 1, 53, 109, 5777. There are 4 integers that are factors of 5777. The greatest factor of 5777 is 5777.

3. 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.

4. How to Find the LCM of 5777 and 5784?

Answer:

Least Common Multiple of 5777 and 5784 = 33414168

Step 1: Find the prime factorization of 5777

5777 = 53 x 109

Step 2: Find the prime factorization of 5784

5784 = 2 x 2 x 2 x 3 x 241

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

LCM = 33414168 = 2 x 2 x 2 x 3 x 53 x 109 x 241

Step 4: Therefore, the least common multiple of 5777 and 5784 is 33414168.