Least Common Multiple of 2746 and 2754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2746 and 2754 the smallest integer that is 3781242 that is divisible by both numbers.

Least Common Multiple (LCM) of 2746 and 2754 is 3781242.

LCM(2746,2754) = 3781242

LCM of 2746 and 2754

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

LCM of:
and

Least Common Multiple of 2746 and 2754

LCM of 2746 and 2754 is 3781242

Least common multiple can be found by multiplying the highest exponent prime factors of 2746 and 2754. First we will calculate the prime factors of 2746 and 2754.

Prime Factorization of 2746


2 2746
1373 1373
1

Prime factors of 2746 are 2,1373. Prime factorization of 2746 in exponential form is:

2746 = 21×13731

Prime Factorization of 2754


2 2754
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 2754 are 2, 3,17. Prime factorization of 2754 in exponential form is:

2754 = 21×34×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2746 and 2754.

LCM(2746,2754) = 21×34×171×13731
LCM(2746,2754) = 3781242

Factors of 2746

List of positive integer factors of 2746 that divides 2746 without a remainder.

1, 2, 1373, 2746

Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754

Least Common Multiple of 2746 and 2754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2746 and 2754, than apply into the LCM equation.

GCF(2746,2754) = 2
LCM(2746,2754) = ( 2746 × 2754) / 2
LCM(2746,2754) = 7562484 / 2
LCM(2746,2754) = 3781242

Properties of LCM 2746 and 2754

(i) The LCM of 2754 and 2746 is associative

LCM of 2746 and 2754 = LCM of 2754 and 2746

Related Least Common Multiples of 2746

Related Least Common Multiples of 2754

Frequently Asked Questions on LCM of 2746 and 2754

1. What is the LCM of 2746 and 2754?

Answer: LCM of 2746 and 2754 is 3781242.

2. What are the Factors of 2746?

Answer: Factors of 2746 are 1, 2, 1373, 2746. There are 4 integers that are factors of 2746. The greatest factor of 2746 is 2746.

3. What are the Factors of 2754?

Answer: Factors of 2754 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754. There are 20 integers that are factors of 2754. The greatest factor of 2754 is 2754.

4. How to Find the LCM of 2746 and 2754?

Answer:

Least Common Multiple of 2746 and 2754 = 3781242

Step 1: Find the prime factorization of 2746

2746 = 2 x 1373

Step 2: Find the prime factorization of 2754

2754 = 2 x 3 x 3 x 3 x 3 x 17

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

LCM = 3781242 = 2 x 3 x 3 x 3 x 3 x 17 x 1373

Step 4: Therefore, the least common multiple of 2746 and 2754 is 3781242.