Least Common Multiple of 5746 and 5752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5746 and 5752 the smallest integer that is 16525496 that is divisible by both numbers.

Least Common Multiple (LCM) of 5746 and 5752 is 16525496.

LCM(5746,5752) = 16525496

LCM of 5746 and 5752

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

LCM of:
and

Least Common Multiple of 5746 and 5752

LCM of 5746 and 5752 is 16525496

Least common multiple can be found by multiplying the highest exponent prime factors of 5746 and 5752. First we will calculate the prime factors of 5746 and 5752.

Prime Factorization of 5746


2 5746
13 2873
13 221
17 17
1

Prime factors of 5746 are 2, 13,17. Prime factorization of 5746 in exponential form is:

5746 = 21×132×171

Prime Factorization of 5752


2 5752
2 2876
2 1438
719 719
1

Prime factors of 5752 are 2,719. Prime factorization of 5752 in exponential form is:

5752 = 23×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 5746 and 5752.

LCM(5746,5752) = 23×132×171×7191
LCM(5746,5752) = 16525496

Factors of 5746

List of positive integer factors of 5746 that divides 5746 without a remainder.

1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746

Factors of 5752

List of positive integer factors of 5752 that divides 5752 without a remainder.

1, 2, 4, 8, 719, 1438, 2876, 5752

Least Common Multiple of 5746 and 5752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5746 and 5752, than apply into the LCM equation.

GCF(5746,5752) = 2
LCM(5746,5752) = ( 5746 × 5752) / 2
LCM(5746,5752) = 33050992 / 2
LCM(5746,5752) = 16525496

Properties of LCM 5746 and 5752

(i) The LCM of 5752 and 5746 is associative

LCM of 5746 and 5752 = LCM of 5752 and 5746

Related Least Common Multiples of 5746

Related Least Common Multiples of 5752

Frequently Asked Questions on LCM of 5746 and 5752

1. What is the LCM of 5746 and 5752?

Answer: LCM of 5746 and 5752 is 16525496.

2. What are the Factors of 5746?

Answer: Factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746. There are 12 integers that are factors of 5746. The greatest factor of 5746 is 5746.

3. What are the Factors of 5752?

Answer: Factors of 5752 are 1, 2, 4, 8, 719, 1438, 2876, 5752. There are 8 integers that are factors of 5752. The greatest factor of 5752 is 5752.

4. How to Find the LCM of 5746 and 5752?

Answer:

Least Common Multiple of 5746 and 5752 = 16525496

Step 1: Find the prime factorization of 5746

5746 = 2 x 13 x 13 x 17

Step 2: Find the prime factorization of 5752

5752 = 2 x 2 x 2 x 719

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

LCM = 16525496 = 2 x 2 x 2 x 13 x 13 x 17 x 719

Step 4: Therefore, the least common multiple of 5746 and 5752 is 16525496.