Least Common Multiple of 2731 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 2731 and 2738 the smallest integer that is 7477478 that is divisible by both numbers.

Least Common Multiple (LCM) of 2731 and 2738 is 7477478.

LCM(2731,2738) = 7477478

LCM of 2731 and 2738

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

LCM of:
and

Least Common Multiple of 2731 and 2738

LCM of 2731 and 2738 is 7477478

Least common multiple can be found by multiplying the highest exponent prime factors of 2731 and 2738. First we will calculate the prime factors of 2731 and 2738.

Prime Factorization of 2731


2731 2731
1

Prime factors of 2731 are 2731. Prime factorization of 2731 in exponential form is:

2731 = 27311

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 2731 and 2738.

LCM(2731,2738) = 21×372×27311
LCM(2731,2738) = 7477478

Factors of 2731

List of positive integer factors of 2731 that divides 2731 without a remainder.

1, 2731

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 2731 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 2731 and 2738, than apply into the LCM equation.

GCF(2731,2738) = 1
LCM(2731,2738) = ( 2731 × 2738) / 1
LCM(2731,2738) = 7477478 / 1
LCM(2731,2738) = 7477478

Properties of LCM 2731 and 2738

(i) The LCM of 2738 and 2731 is associative

LCM of 2731 and 2738 = LCM of 2738 and 2731

Related Least Common Multiples of 2731

Related Least Common Multiples of 2738

Frequently Asked Questions on LCM of 2731 and 2738

1. What is the LCM of 2731 and 2738?

Answer: LCM of 2731 and 2738 is 7477478.

2. What are the Factors of 2731?

Answer: Factors of 2731 are 1, 2731. There are 2 integers that are factors of 2731. The greatest factor of 2731 is 2731.

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 2731 and 2738?

Answer:

Least Common Multiple of 2731 and 2738 = 7477478

Step 1: Find the prime factorization of 2731

2731 = 2731

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 = 7477478 = 2 x 37 x 37 x 2731

Step 4: Therefore, the least common multiple of 2731 and 2738 is 7477478.