Least Common Multiple of 2754 and 2762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2754 and 2762 the smallest integer that is 3803274 that is divisible by both numbers.

Least Common Multiple (LCM) of 2754 and 2762 is 3803274.

LCM(2754,2762) = 3803274

LCM of 2754 and 2762

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

LCM of:
and

Least Common Multiple of 2754 and 2762

LCM of 2754 and 2762 is 3803274

Least common multiple can be found by multiplying the highest exponent prime factors of 2754 and 2762. First we will calculate the prime factors of 2754 and 2762.

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

Prime Factorization of 2762


2 2762
1381 1381
1

Prime factors of 2762 are 2,1381. Prime factorization of 2762 in exponential form is:

2762 = 21×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 2754 and 2762.

LCM(2754,2762) = 21×34×171×13811
LCM(2754,2762) = 3803274

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

Factors of 2762

List of positive integer factors of 2762 that divides 2762 without a remainder.

1, 2, 1381, 2762

Least Common Multiple of 2754 and 2762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2754 and 2762, than apply into the LCM equation.

GCF(2754,2762) = 2
LCM(2754,2762) = ( 2754 × 2762) / 2
LCM(2754,2762) = 7606548 / 2
LCM(2754,2762) = 3803274

Properties of LCM 2754 and 2762

(i) The LCM of 2762 and 2754 is associative

LCM of 2754 and 2762 = LCM of 2762 and 2754

Related Least Common Multiples of 2754

Related Least Common Multiples of 2762

Frequently Asked Questions on LCM of 2754 and 2762

1. What is the LCM of 2754 and 2762?

Answer: LCM of 2754 and 2762 is 3803274.

2. 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.

3. What are the Factors of 2762?

Answer: Factors of 2762 are 1, 2, 1381, 2762. There are 4 integers that are factors of 2762. The greatest factor of 2762 is 2762.

4. How to Find the LCM of 2754 and 2762?

Answer:

Least Common Multiple of 2754 and 2762 = 3803274

Step 1: Find the prime factorization of 2754

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

Step 2: Find the prime factorization of 2762

2762 = 2 x 1381

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

LCM = 3803274 = 2 x 3 x 3 x 3 x 3 x 17 x 1381

Step 4: Therefore, the least common multiple of 2754 and 2762 is 3803274.