Least Common Multiple of 5702 and 5708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5702 and 5708 the smallest integer that is 16273508 that is divisible by both numbers.

Least Common Multiple (LCM) of 5702 and 5708 is 16273508.

LCM(5702,5708) = 16273508

LCM of 5702 and 5708

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

LCM of:
and

Least Common Multiple of 5702 and 5708

LCM of 5702 and 5708 is 16273508

Least common multiple can be found by multiplying the highest exponent prime factors of 5702 and 5708. First we will calculate the prime factors of 5702 and 5708.

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

Prime Factorization of 5708


2 5708
2 2854
1427 1427
1

Prime factors of 5708 are 2,1427. Prime factorization of 5708 in exponential form is:

5708 = 22×14271

Now multiplying the highest exponent prime factors to calculate the LCM of 5702 and 5708.

LCM(5702,5708) = 22×14271×28511
LCM(5702,5708) = 16273508

Factors of 5702

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

1, 2, 2851, 5702

Factors of 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1, 2, 4, 1427, 2854, 5708

Least Common Multiple of 5702 and 5708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5702 and 5708, than apply into the LCM equation.

GCF(5702,5708) = 2
LCM(5702,5708) = ( 5702 × 5708) / 2
LCM(5702,5708) = 32547016 / 2
LCM(5702,5708) = 16273508

Properties of LCM 5702 and 5708

(i) The LCM of 5708 and 5702 is associative

LCM of 5702 and 5708 = LCM of 5708 and 5702

Related Least Common Multiples of 5702

Related Least Common Multiples of 5708

Frequently Asked Questions on LCM of 5702 and 5708

1. What is the LCM of 5702 and 5708?

Answer: LCM of 5702 and 5708 is 16273508.

2. 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.

3. What are the Factors of 5708?

Answer: Factors of 5708 are 1, 2, 4, 1427, 2854, 5708. There are 6 integers that are factors of 5708. The greatest factor of 5708 is 5708.

4. How to Find the LCM of 5702 and 5708?

Answer:

Least Common Multiple of 5702 and 5708 = 16273508

Step 1: Find the prime factorization of 5702

5702 = 2 x 2851

Step 2: Find the prime factorization of 5708

5708 = 2 x 2 x 1427

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

LCM = 16273508 = 2 x 2 x 1427 x 2851

Step 4: Therefore, the least common multiple of 5702 and 5708 is 16273508.