Least Common Multiple of 2732 and 2738

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 2738 the smallest integer that is 3740108 that is divisible by both numbers.

Least Common Multiple (LCM) of 2732 and 2738 is 3740108.

LCM(2732,2738) = 3740108

LCM of 2732 and 2738

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

LCM of:
and

Least Common Multiple of 2732 and 2738

LCM of 2732 and 2738 is 3740108

Least common multiple can be found by multiplying the highest exponent prime factors of 2732 and 2738. First we will calculate the prime factors of 2732 and 2738.

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 2738


2 2738
37 1369
37 37
1

Prime factors of 2738 are 2,37. Prime factorization of 2738 in exponential form is:

2738 = 21×372

Now multiplying the highest exponent prime factors to calculate the LCM of 2732 and 2738.

LCM(2732,2738) = 22×372×6831
LCM(2732,2738) = 3740108

Factors of 2732

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

1, 2, 4, 683, 1366, 2732

Factors of 2738

List of positive integer factors of 2738 that divides 2738 without a remainder.

1, 2, 37, 74, 1369, 2738

Least Common Multiple of 2732 and 2738 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 2738, than apply into the LCM equation.

GCF(2732,2738) = 2
LCM(2732,2738) = ( 2732 × 2738) / 2
LCM(2732,2738) = 7480216 / 2
LCM(2732,2738) = 3740108

Properties of LCM 2732 and 2738

(i) The LCM of 2738 and 2732 is associative

LCM of 2732 and 2738 = LCM of 2738 and 2732

Related Least Common Multiples of 2732

Related Least Common Multiples of 2738

Frequently Asked Questions on LCM of 2732 and 2738

1. What is the LCM of 2732 and 2738?

Answer: LCM of 2732 and 2738 is 3740108.

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 2738?

Answer: Factors of 2738 are 1, 2, 37, 74, 1369, 2738. There are 6 integers that are factors of 2738. The greatest factor of 2738 is 2738.

4. How to Find the LCM of 2732 and 2738?

Answer:

Least Common Multiple of 2732 and 2738 = 3740108

Step 1: Find the prime factorization of 2732

2732 = 2 x 2 x 683

Step 2: Find the prime factorization of 2738

2738 = 2 x 37 x 37

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

LCM = 3740108 = 2 x 2 x 37 x 37 x 683

Step 4: Therefore, the least common multiple of 2732 and 2738 is 3740108.