Least Common Multiple of 2747 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 2747 and 2754 the smallest integer that is 7565238 that is divisible by both numbers.

Least Common Multiple (LCM) of 2747 and 2754 is 7565238.

LCM(2747,2754) = 7565238

LCM of 2747 and 2754

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

LCM of:
and

Least Common Multiple of 2747 and 2754

LCM of 2747 and 2754 is 7565238

Least common multiple can be found by multiplying the highest exponent prime factors of 2747 and 2754. First we will calculate the prime factors of 2747 and 2754.

Prime Factorization of 2747


41 2747
67 67
1

Prime factors of 2747 are 41,67. Prime factorization of 2747 in exponential form is:

2747 = 411×671

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 2747 and 2754.

LCM(2747,2754) = 21×34×171×411×671
LCM(2747,2754) = 7565238

Factors of 2747

List of positive integer factors of 2747 that divides 2747 without a remainder.

1, 41, 67, 2747

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 2747 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 2747 and 2754, than apply into the LCM equation.

GCF(2747,2754) = 1
LCM(2747,2754) = ( 2747 × 2754) / 1
LCM(2747,2754) = 7565238 / 1
LCM(2747,2754) = 7565238

Properties of LCM 2747 and 2754

(i) The LCM of 2754 and 2747 is associative

LCM of 2747 and 2754 = LCM of 2754 and 2747

Related Least Common Multiples of 2747

Related Least Common Multiples of 2754

Frequently Asked Questions on LCM of 2747 and 2754

1. What is the LCM of 2747 and 2754?

Answer: LCM of 2747 and 2754 is 7565238.

2. What are the Factors of 2747?

Answer: Factors of 2747 are 1, 41, 67, 2747. There are 4 integers that are factors of 2747. The greatest factor of 2747 is 2747.

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 2747 and 2754?

Answer:

Least Common Multiple of 2747 and 2754 = 7565238

Step 1: Find the prime factorization of 2747

2747 = 41 x 67

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 = 7565238 = 2 x 3 x 3 x 3 x 3 x 17 x 41 x 67

Step 4: Therefore, the least common multiple of 2747 and 2754 is 7565238.