Least Common Multiple of 2721 and 2729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2721 and 2729 the smallest integer that is 7425609 that is divisible by both numbers.

Least Common Multiple (LCM) of 2721 and 2729 is 7425609.

LCM(2721,2729) = 7425609

LCM of 2721 and 2729

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

LCM of:
and

Least Common Multiple of 2721 and 2729

LCM of 2721 and 2729 is 7425609

Least common multiple can be found by multiplying the highest exponent prime factors of 2721 and 2729. First we will calculate the prime factors of 2721 and 2729.

Prime Factorization of 2721


3 2721
907 907
1

Prime factors of 2721 are 3,907. Prime factorization of 2721 in exponential form is:

2721 = 31×9071

Prime Factorization of 2729


2729 2729
1

Prime factors of 2729 are 2729. Prime factorization of 2729 in exponential form is:

2729 = 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 2721 and 2729.

LCM(2721,2729) = 31×9071×27291
LCM(2721,2729) = 7425609

Factors of 2721

List of positive integer factors of 2721 that divides 2721 without a remainder.

1, 3, 907, 2721

Factors of 2729

List of positive integer factors of 2729 that divides 2729 without a remainder.

1, 2729

Least Common Multiple of 2721 and 2729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2721 and 2729, than apply into the LCM equation.

GCF(2721,2729) = 1
LCM(2721,2729) = ( 2721 × 2729) / 1
LCM(2721,2729) = 7425609 / 1
LCM(2721,2729) = 7425609

Properties of LCM 2721 and 2729

(i) The LCM of 2729 and 2721 is associative

LCM of 2721 and 2729 = LCM of 2729 and 2721

Related Least Common Multiples of 2721

Related Least Common Multiples of 2729

Frequently Asked Questions on LCM of 2721 and 2729

1. What is the LCM of 2721 and 2729?

Answer: LCM of 2721 and 2729 is 7425609.

2. What are the Factors of 2721?

Answer: Factors of 2721 are 1, 3, 907, 2721. There are 4 integers that are factors of 2721. The greatest factor of 2721 is 2721.

3. What are the Factors of 2729?

Answer: Factors of 2729 are 1, 2729. There are 2 integers that are factors of 2729. The greatest factor of 2729 is 2729.

4. How to Find the LCM of 2721 and 2729?

Answer:

Least Common Multiple of 2721 and 2729 = 7425609

Step 1: Find the prime factorization of 2721

2721 = 3 x 907

Step 2: Find the prime factorization of 2729

2729 = 2729

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

LCM = 7425609 = 3 x 907 x 2729

Step 4: Therefore, the least common multiple of 2721 and 2729 is 7425609.