Least Common Multiple of 5721 and 5726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5721 and 5726 the smallest integer that is 32758446 that is divisible by both numbers.

Least Common Multiple (LCM) of 5721 and 5726 is 32758446.

LCM(5721,5726) = 32758446

LCM of 5721 and 5726

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

LCM of:
and

Least Common Multiple of 5721 and 5726

LCM of 5721 and 5726 is 32758446

Least common multiple can be found by multiplying the highest exponent prime factors of 5721 and 5726. First we will calculate the prime factors of 5721 and 5726.

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

Prime Factorization of 5726


2 5726
7 2863
409 409
1

Prime factors of 5726 are 2, 7,409. Prime factorization of 5726 in exponential form is:

5726 = 21×71×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 5721 and 5726.

LCM(5721,5726) = 21×31×71×4091×19071
LCM(5721,5726) = 32758446

Factors of 5721

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

1, 3, 1907, 5721

Factors of 5726

List of positive integer factors of 5726 that divides 5726 without a remainder.

1, 2, 7, 14, 409, 818, 2863, 5726

Least Common Multiple of 5721 and 5726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5721 and 5726, than apply into the LCM equation.

GCF(5721,5726) = 1
LCM(5721,5726) = ( 5721 × 5726) / 1
LCM(5721,5726) = 32758446 / 1
LCM(5721,5726) = 32758446

Properties of LCM 5721 and 5726

(i) The LCM of 5726 and 5721 is associative

LCM of 5721 and 5726 = LCM of 5726 and 5721

Related Least Common Multiples of 5721

Related Least Common Multiples of 5726

Frequently Asked Questions on LCM of 5721 and 5726

1. What is the LCM of 5721 and 5726?

Answer: LCM of 5721 and 5726 is 32758446.

2. 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.

3. What are the Factors of 5726?

Answer: Factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726. There are 8 integers that are factors of 5726. The greatest factor of 5726 is 5726.

4. How to Find the LCM of 5721 and 5726?

Answer:

Least Common Multiple of 5721 and 5726 = 32758446

Step 1: Find the prime factorization of 5721

5721 = 3 x 1907

Step 2: Find the prime factorization of 5726

5726 = 2 x 7 x 409

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

LCM = 32758446 = 2 x 3 x 7 x 409 x 1907

Step 4: Therefore, the least common multiple of 5721 and 5726 is 32758446.