Least Common Multiple of 5708 and 5713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5708 and 5713 the smallest integer that is 32609804 that is divisible by both numbers.

Least Common Multiple (LCM) of 5708 and 5713 is 32609804.

LCM(5708,5713) = 32609804

LCM of 5708 and 5713

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

LCM of:
and

Least Common Multiple of 5708 and 5713

LCM of 5708 and 5713 is 32609804

Least common multiple can be found by multiplying the highest exponent prime factors of 5708 and 5713. First we will calculate the prime factors of 5708 and 5713.

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

Prime Factorization of 5713


29 5713
197 197
1

Prime factors of 5713 are 29,197. Prime factorization of 5713 in exponential form is:

5713 = 291×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 5708 and 5713.

LCM(5708,5713) = 22×291×1971×14271
LCM(5708,5713) = 32609804

Factors of 5708

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

1, 2, 4, 1427, 2854, 5708

Factors of 5713

List of positive integer factors of 5713 that divides 5713 without a remainder.

1, 29, 197, 5713

Least Common Multiple of 5708 and 5713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5708 and 5713, than apply into the LCM equation.

GCF(5708,5713) = 1
LCM(5708,5713) = ( 5708 × 5713) / 1
LCM(5708,5713) = 32609804 / 1
LCM(5708,5713) = 32609804

Properties of LCM 5708 and 5713

(i) The LCM of 5713 and 5708 is associative

LCM of 5708 and 5713 = LCM of 5713 and 5708

Related Least Common Multiples of 5708

Related Least Common Multiples of 5713

Frequently Asked Questions on LCM of 5708 and 5713

1. What is the LCM of 5708 and 5713?

Answer: LCM of 5708 and 5713 is 32609804.

2. 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.

3. What are the Factors of 5713?

Answer: Factors of 5713 are 1, 29, 197, 5713. There are 4 integers that are factors of 5713. The greatest factor of 5713 is 5713.

4. How to Find the LCM of 5708 and 5713?

Answer:

Least Common Multiple of 5708 and 5713 = 32609804

Step 1: Find the prime factorization of 5708

5708 = 2 x 2 x 1427

Step 2: Find the prime factorization of 5713

5713 = 29 x 197

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

LCM = 32609804 = 2 x 2 x 29 x 197 x 1427

Step 4: Therefore, the least common multiple of 5708 and 5713 is 32609804.