Least Common Multiple of 5758 and 5764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5758 and 5764 the smallest integer that is 16594556 that is divisible by both numbers.

Least Common Multiple (LCM) of 5758 and 5764 is 16594556.

LCM(5758,5764) = 16594556

LCM of 5758 and 5764

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

LCM of:
and

Least Common Multiple of 5758 and 5764

LCM of 5758 and 5764 is 16594556

Least common multiple can be found by multiplying the highest exponent prime factors of 5758 and 5764. First we will calculate the prime factors of 5758 and 5764.

Prime Factorization of 5758


2 5758
2879 2879
1

Prime factors of 5758 are 2,2879. Prime factorization of 5758 in exponential form is:

5758 = 21×28791

Prime Factorization of 5764


2 5764
2 2882
11 1441
131 131
1

Prime factors of 5764 are 2, 11,131. Prime factorization of 5764 in exponential form is:

5764 = 22×111×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5758 and 5764.

LCM(5758,5764) = 22×111×1311×28791
LCM(5758,5764) = 16594556

Factors of 5758

List of positive integer factors of 5758 that divides 5758 without a remainder.

1, 2, 2879, 5758

Factors of 5764

List of positive integer factors of 5764 that divides 5764 without a remainder.

1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764

Least Common Multiple of 5758 and 5764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5758 and 5764, than apply into the LCM equation.

GCF(5758,5764) = 2
LCM(5758,5764) = ( 5758 × 5764) / 2
LCM(5758,5764) = 33189112 / 2
LCM(5758,5764) = 16594556

Properties of LCM 5758 and 5764

(i) The LCM of 5764 and 5758 is associative

LCM of 5758 and 5764 = LCM of 5764 and 5758

Related Least Common Multiples of 5758

Related Least Common Multiples of 5764

Frequently Asked Questions on LCM of 5758 and 5764

1. What is the LCM of 5758 and 5764?

Answer: LCM of 5758 and 5764 is 16594556.

2. What are the Factors of 5758?

Answer: Factors of 5758 are 1, 2, 2879, 5758. There are 4 integers that are factors of 5758. The greatest factor of 5758 is 5758.

3. What are the Factors of 5764?

Answer: Factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764. There are 12 integers that are factors of 5764. The greatest factor of 5764 is 5764.

4. How to Find the LCM of 5758 and 5764?

Answer:

Least Common Multiple of 5758 and 5764 = 16594556

Step 1: Find the prime factorization of 5758

5758 = 2 x 2879

Step 2: Find the prime factorization of 5764

5764 = 2 x 2 x 11 x 131

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

LCM = 16594556 = 2 x 2 x 11 x 131 x 2879

Step 4: Therefore, the least common multiple of 5758 and 5764 is 16594556.