Least Common Multiple of 2734 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 2734 and 2738 the smallest integer that is 3742846 that is divisible by both numbers.

Least Common Multiple (LCM) of 2734 and 2738 is 3742846.

LCM(2734,2738) = 3742846

LCM of 2734 and 2738

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

LCM of:
and

Least Common Multiple of 2734 and 2738

LCM of 2734 and 2738 is 3742846

Least common multiple can be found by multiplying the highest exponent prime factors of 2734 and 2738. First we will calculate the prime factors of 2734 and 2738.

Prime Factorization of 2734


2 2734
1367 1367
1

Prime factors of 2734 are 2,1367. Prime factorization of 2734 in exponential form is:

2734 = 21×13671

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 2734 and 2738.

LCM(2734,2738) = 21×372×13671
LCM(2734,2738) = 3742846

Factors of 2734

List of positive integer factors of 2734 that divides 2734 without a remainder.

1, 2, 1367, 2734

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 2734 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 2734 and 2738, than apply into the LCM equation.

GCF(2734,2738) = 2
LCM(2734,2738) = ( 2734 × 2738) / 2
LCM(2734,2738) = 7485692 / 2
LCM(2734,2738) = 3742846

Properties of LCM 2734 and 2738

(i) The LCM of 2738 and 2734 is associative

LCM of 2734 and 2738 = LCM of 2738 and 2734

Related Least Common Multiples of 2734

Related Least Common Multiples of 2738

Frequently Asked Questions on LCM of 2734 and 2738

1. What is the LCM of 2734 and 2738?

Answer: LCM of 2734 and 2738 is 3742846.

2. What are the Factors of 2734?

Answer: Factors of 2734 are 1, 2, 1367, 2734. There are 4 integers that are factors of 2734. The greatest factor of 2734 is 2734.

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 2734 and 2738?

Answer:

Least Common Multiple of 2734 and 2738 = 3742846

Step 1: Find the prime factorization of 2734

2734 = 2 x 1367

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 = 3742846 = 2 x 37 x 37 x 1367

Step 4: Therefore, the least common multiple of 2734 and 2738 is 3742846.