Least Common Multiple of 5715 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 5715 and 5720 the smallest integer that is 6537960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5715 and 5720 is 6537960.

LCM(5715,5720) = 6537960

LCM of 5715 and 5720

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

LCM of:
and

Least Common Multiple of 5715 and 5720

LCM of 5715 and 5720 is 6537960

Least common multiple can be found by multiplying the highest exponent prime factors of 5715 and 5720. First we will calculate the prime factors of 5715 and 5720.

Prime Factorization of 5715


3 5715
3 1905
5 635
127 127
1

Prime factors of 5715 are 3, 5,127. Prime factorization of 5715 in exponential form is:

5715 = 32×51×1271

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 5715 and 5720.

LCM(5715,5720) = 23×32×51×111×131×1271
LCM(5715,5720) = 6537960

Factors of 5715

List of positive integer factors of 5715 that divides 5715 without a remainder.

1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715

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 5715 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 5715 and 5720, than apply into the LCM equation.

GCF(5715,5720) = 5
LCM(5715,5720) = ( 5715 × 5720) / 5
LCM(5715,5720) = 32689800 / 5
LCM(5715,5720) = 6537960

Properties of LCM 5715 and 5720

(i) The LCM of 5720 and 5715 is associative

LCM of 5715 and 5720 = LCM of 5720 and 5715

Related Least Common Multiples of 5715

Related Least Common Multiples of 5720

Frequently Asked Questions on LCM of 5715 and 5720

1. What is the LCM of 5715 and 5720?

Answer: LCM of 5715 and 5720 is 6537960.

2. What are the Factors of 5715?

Answer: Factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715. There are 12 integers that are factors of 5715. The greatest factor of 5715 is 5715.

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 5715 and 5720?

Answer:

Least Common Multiple of 5715 and 5720 = 6537960

Step 1: Find the prime factorization of 5715

5715 = 3 x 3 x 5 x 127

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 = 6537960 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 127

Step 4: Therefore, the least common multiple of 5715 and 5720 is 6537960.