Least Common Multiple of 2732 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 2732 and 2737 the smallest integer that is 7477484 that is divisible by both numbers.

Least Common Multiple (LCM) of 2732 and 2737 is 7477484.

LCM(2732,2737) = 7477484

LCM of 2732 and 2737

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

LCM of:
and

Least Common Multiple of 2732 and 2737

LCM of 2732 and 2737 is 7477484

Least common multiple can be found by multiplying the highest exponent prime factors of 2732 and 2737. First we will calculate the prime factors of 2732 and 2737.

Prime Factorization of 2732


2 2732
2 1366
683 683
1

Prime factors of 2732 are 2,683. Prime factorization of 2732 in exponential form is:

2732 = 22×6831

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 2732 and 2737.

LCM(2732,2737) = 22×71×171×231×6831
LCM(2732,2737) = 7477484

Factors of 2732

List of positive integer factors of 2732 that divides 2732 without a remainder.

1, 2, 4, 683, 1366, 2732

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 2732 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 2732 and 2737, than apply into the LCM equation.

GCF(2732,2737) = 1
LCM(2732,2737) = ( 2732 × 2737) / 1
LCM(2732,2737) = 7477484 / 1
LCM(2732,2737) = 7477484

Properties of LCM 2732 and 2737

(i) The LCM of 2737 and 2732 is associative

LCM of 2732 and 2737 = LCM of 2737 and 2732

Related Least Common Multiples of 2732

Related Least Common Multiples of 2737

Frequently Asked Questions on LCM of 2732 and 2737

1. What is the LCM of 2732 and 2737?

Answer: LCM of 2732 and 2737 is 7477484.

2. What are the Factors of 2732?

Answer: Factors of 2732 are 1, 2, 4, 683, 1366, 2732. There are 6 integers that are factors of 2732. The greatest factor of 2732 is 2732.

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 2732 and 2737?

Answer:

Least Common Multiple of 2732 and 2737 = 7477484

Step 1: Find the prime factorization of 2732

2732 = 2 x 2 x 683

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 = 7477484 = 2 x 2 x 7 x 17 x 23 x 683

Step 4: Therefore, the least common multiple of 2732 and 2737 is 7477484.