Least Common Multiple of 5777 and 5782

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 5782 the smallest integer that is 33402614 that is divisible by both numbers.

Least Common Multiple (LCM) of 5777 and 5782 is 33402614.

LCM(5777,5782) = 33402614

LCM of 5777 and 5782

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

LCM of:
and

Least Common Multiple of 5777 and 5782

LCM of 5777 and 5782 is 33402614

Least common multiple can be found by multiplying the highest exponent prime factors of 5777 and 5782. First we will calculate the prime factors of 5777 and 5782.

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 5782


2 5782
7 2891
7 413
59 59
1

Prime factors of 5782 are 2, 7,59. Prime factorization of 5782 in exponential form is:

5782 = 21×72×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5777 and 5782.

LCM(5777,5782) = 21×72×531×591×1091
LCM(5777,5782) = 33402614

Factors of 5777

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

1, 53, 109, 5777

Factors of 5782

List of positive integer factors of 5782 that divides 5782 without a remainder.

1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782

Least Common Multiple of 5777 and 5782 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 5782, than apply into the LCM equation.

GCF(5777,5782) = 1
LCM(5777,5782) = ( 5777 × 5782) / 1
LCM(5777,5782) = 33402614 / 1
LCM(5777,5782) = 33402614

Properties of LCM 5777 and 5782

(i) The LCM of 5782 and 5777 is associative

LCM of 5777 and 5782 = LCM of 5782 and 5777

Related Least Common Multiples of 5777

Related Least Common Multiples of 5782

Frequently Asked Questions on LCM of 5777 and 5782

1. What is the LCM of 5777 and 5782?

Answer: LCM of 5777 and 5782 is 33402614.

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 5782?

Answer: Factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782. There are 12 integers that are factors of 5782. The greatest factor of 5782 is 5782.

4. How to Find the LCM of 5777 and 5782?

Answer:

Least Common Multiple of 5777 and 5782 = 33402614

Step 1: Find the prime factorization of 5777

5777 = 53 x 109

Step 2: Find the prime factorization of 5782

5782 = 2 x 7 x 7 x 59

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

LCM = 33402614 = 2 x 7 x 7 x 53 x 59 x 109

Step 4: Therefore, the least common multiple of 5777 and 5782 is 33402614.