Least Common Multiple of 2729 and 2737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2729 and 2737 the smallest integer that is 7469273 that is divisible by both numbers.

Least Common Multiple (LCM) of 2729 and 2737 is 7469273.

LCM(2729,2737) = 7469273

LCM of 2729 and 2737

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

LCM of:
and

Least Common Multiple of 2729 and 2737

LCM of 2729 and 2737 is 7469273

Least common multiple can be found by multiplying the highest exponent prime factors of 2729 and 2737. First we will calculate the prime factors of 2729 and 2737.

Prime Factorization of 2729


2729 2729
1

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

2729 = 27291

Prime Factorization of 2737


7 2737
17 391
23 23
1

Prime factors of 2737 are 7, 17,23. Prime factorization of 2737 in exponential form is:

2737 = 71×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2729 and 2737.

LCM(2729,2737) = 71×171×231×27291
LCM(2729,2737) = 7469273

Factors of 2729

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

1, 2729

Factors of 2737

List of positive integer factors of 2737 that divides 2737 without a remainder.

1, 7, 17, 23, 119, 161, 391, 2737

Least Common Multiple of 2729 and 2737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2729 and 2737, than apply into the LCM equation.

GCF(2729,2737) = 1
LCM(2729,2737) = ( 2729 × 2737) / 1
LCM(2729,2737) = 7469273 / 1
LCM(2729,2737) = 7469273

Properties of LCM 2729 and 2737

(i) The LCM of 2737 and 2729 is associative

LCM of 2729 and 2737 = LCM of 2737 and 2729

Related Least Common Multiples of 2729

Related Least Common Multiples of 2737

Frequently Asked Questions on LCM of 2729 and 2737

1. What is the LCM of 2729 and 2737?

Answer: LCM of 2729 and 2737 is 7469273.

2. 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.

3. What are the Factors of 2737?

Answer: Factors of 2737 are 1, 7, 17, 23, 119, 161, 391, 2737. There are 8 integers that are factors of 2737. The greatest factor of 2737 is 2737.

4. How to Find the LCM of 2729 and 2737?

Answer:

Least Common Multiple of 2729 and 2737 = 7469273

Step 1: Find the prime factorization of 2729

2729 = 2729

Step 2: Find the prime factorization of 2737

2737 = 7 x 17 x 23

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

LCM = 7469273 = 7 x 17 x 23 x 2729

Step 4: Therefore, the least common multiple of 2729 and 2737 is 7469273.