Least Common Multiple of 5696 and 5702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5696 and 5702 the smallest integer that is 16239296 that is divisible by both numbers.

Least Common Multiple (LCM) of 5696 and 5702 is 16239296.

LCM(5696,5702) = 16239296

LCM of 5696 and 5702

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

LCM of:
and

Least Common Multiple of 5696 and 5702

LCM of 5696 and 5702 is 16239296

Least common multiple can be found by multiplying the highest exponent prime factors of 5696 and 5702. First we will calculate the prime factors of 5696 and 5702.

Prime Factorization of 5696


2 5696
2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 5696 are 2,89. Prime factorization of 5696 in exponential form is:

5696 = 26×891

Prime Factorization of 5702


2 5702
2851 2851
1

Prime factors of 5702 are 2,2851. Prime factorization of 5702 in exponential form is:

5702 = 21×28511

Now multiplying the highest exponent prime factors to calculate the LCM of 5696 and 5702.

LCM(5696,5702) = 26×891×28511
LCM(5696,5702) = 16239296

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696

Factors of 5702

List of positive integer factors of 5702 that divides 5702 without a remainder.

1, 2, 2851, 5702

Least Common Multiple of 5696 and 5702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5696 and 5702, than apply into the LCM equation.

GCF(5696,5702) = 2
LCM(5696,5702) = ( 5696 × 5702) / 2
LCM(5696,5702) = 32478592 / 2
LCM(5696,5702) = 16239296

Properties of LCM 5696 and 5702

(i) The LCM of 5702 and 5696 is associative

LCM of 5696 and 5702 = LCM of 5702 and 5696

Related Least Common Multiples of 5696

Related Least Common Multiples of 5702

Frequently Asked Questions on LCM of 5696 and 5702

1. What is the LCM of 5696 and 5702?

Answer: LCM of 5696 and 5702 is 16239296.

2. What are the Factors of 5696?

Answer: Factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696. There are 14 integers that are factors of 5696. The greatest factor of 5696 is 5696.

3. What are the Factors of 5702?

Answer: Factors of 5702 are 1, 2, 2851, 5702. There are 4 integers that are factors of 5702. The greatest factor of 5702 is 5702.

4. How to Find the LCM of 5696 and 5702?

Answer:

Least Common Multiple of 5696 and 5702 = 16239296

Step 1: Find the prime factorization of 5696

5696 = 2 x 2 x 2 x 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 5702

5702 = 2 x 2851

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

LCM = 16239296 = 2 x 2 x 2 x 2 x 2 x 2 x 89 x 2851

Step 4: Therefore, the least common multiple of 5696 and 5702 is 16239296.