Least Common Multiple of 5715 and 5721

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 5721 the smallest integer that is 10898505 that is divisible by both numbers.

Least Common Multiple (LCM) of 5715 and 5721 is 10898505.

LCM(5715,5721) = 10898505

LCM of 5715 and 5721

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

LCM of:
and

Least Common Multiple of 5715 and 5721

LCM of 5715 and 5721 is 10898505

Least common multiple can be found by multiplying the highest exponent prime factors of 5715 and 5721. First we will calculate the prime factors of 5715 and 5721.

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 5721


3 5721
1907 1907
1

Prime factors of 5721 are 3,1907. Prime factorization of 5721 in exponential form is:

5721 = 31×19071

Now multiplying the highest exponent prime factors to calculate the LCM of 5715 and 5721.

LCM(5715,5721) = 32×51×1271×19071
LCM(5715,5721) = 10898505

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 5721

List of positive integer factors of 5721 that divides 5721 without a remainder.

1, 3, 1907, 5721

Least Common Multiple of 5715 and 5721 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 5721, than apply into the LCM equation.

GCF(5715,5721) = 3
LCM(5715,5721) = ( 5715 × 5721) / 3
LCM(5715,5721) = 32695515 / 3
LCM(5715,5721) = 10898505

Properties of LCM 5715 and 5721

(i) The LCM of 5721 and 5715 is associative

LCM of 5715 and 5721 = LCM of 5721 and 5715

Related Least Common Multiples of 5715

Related Least Common Multiples of 5721

Frequently Asked Questions on LCM of 5715 and 5721

1. What is the LCM of 5715 and 5721?

Answer: LCM of 5715 and 5721 is 10898505.

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 5721?

Answer: Factors of 5721 are 1, 3, 1907, 5721. There are 4 integers that are factors of 5721. The greatest factor of 5721 is 5721.

4. How to Find the LCM of 5715 and 5721?

Answer:

Least Common Multiple of 5715 and 5721 = 10898505

Step 1: Find the prime factorization of 5715

5715 = 3 x 3 x 5 x 127

Step 2: Find the prime factorization of 5721

5721 = 3 x 1907

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

LCM = 10898505 = 3 x 3 x 5 x 127 x 1907

Step 4: Therefore, the least common multiple of 5715 and 5721 is 10898505.