Least Common Multiple of 5713 and 5720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5713 and 5720 the smallest integer that is 32678360 that is divisible by both numbers.

Least Common Multiple (LCM) of 5713 and 5720 is 32678360.

LCM(5713,5720) = 32678360

LCM of 5713 and 5720

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

LCM of:
and

Least Common Multiple of 5713 and 5720

LCM of 5713 and 5720 is 32678360

Least common multiple can be found by multiplying the highest exponent prime factors of 5713 and 5720. First we will calculate the prime factors of 5713 and 5720.

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

Prime Factorization of 5720


2 5720
2 2860
2 1430
5 715
11 143
13 13
1

Prime factors of 5720 are 2, 5, 11,13. Prime factorization of 5720 in exponential form is:

5720 = 23×51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5713 and 5720.

LCM(5713,5720) = 23×51×111×131×291×1971
LCM(5713,5720) = 32678360

Factors of 5713

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

1, 29, 197, 5713

Factors of 5720

List of positive integer factors of 5720 that divides 5720 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720

Least Common Multiple of 5713 and 5720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5713 and 5720, than apply into the LCM equation.

GCF(5713,5720) = 1
LCM(5713,5720) = ( 5713 × 5720) / 1
LCM(5713,5720) = 32678360 / 1
LCM(5713,5720) = 32678360

Properties of LCM 5713 and 5720

(i) The LCM of 5720 and 5713 is associative

LCM of 5713 and 5720 = LCM of 5720 and 5713

Related Least Common Multiples of 5713

Related Least Common Multiples of 5720

Frequently Asked Questions on LCM of 5713 and 5720

1. What is the LCM of 5713 and 5720?

Answer: LCM of 5713 and 5720 is 32678360.

2. 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.

3. What are the Factors of 5720?

Answer: Factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720. There are 32 integers that are factors of 5720. The greatest factor of 5720 is 5720.

4. How to Find the LCM of 5713 and 5720?

Answer:

Least Common Multiple of 5713 and 5720 = 32678360

Step 1: Find the prime factorization of 5713

5713 = 29 x 197

Step 2: Find the prime factorization of 5720

5720 = 2 x 2 x 2 x 5 x 11 x 13

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

LCM = 32678360 = 2 x 2 x 2 x 5 x 11 x 13 x 29 x 197

Step 4: Therefore, the least common multiple of 5713 and 5720 is 32678360.