Least Common Multiple of 2754 and 2760

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 2760 the smallest integer that is 1266840 that is divisible by both numbers.

Least Common Multiple (LCM) of 2754 and 2760 is 1266840.

LCM(2754,2760) = 1266840

LCM of 2754 and 2760

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

LCM of:
and

Least Common Multiple of 2754 and 2760

LCM of 2754 and 2760 is 1266840

Least common multiple can be found by multiplying the highest exponent prime factors of 2754 and 2760. First we will calculate the prime factors of 2754 and 2760.

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 2760


2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 2760 are 2, 3, 5,23. Prime factorization of 2760 in exponential form is:

2760 = 23×31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2754 and 2760.

LCM(2754,2760) = 23×34×51×171×231
LCM(2754,2760) = 1266840

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 2760

List of positive integer factors of 2760 that divides 2760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760

Least Common Multiple of 2754 and 2760 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 2760, than apply into the LCM equation.

GCF(2754,2760) = 6
LCM(2754,2760) = ( 2754 × 2760) / 6
LCM(2754,2760) = 7601040 / 6
LCM(2754,2760) = 1266840

Properties of LCM 2754 and 2760

(i) The LCM of 2760 and 2754 is associative

LCM of 2754 and 2760 = LCM of 2760 and 2754

Related Least Common Multiples of 2754

Related Least Common Multiples of 2760

Frequently Asked Questions on LCM of 2754 and 2760

1. What is the LCM of 2754 and 2760?

Answer: LCM of 2754 and 2760 is 1266840.

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 2760?

Answer: Factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760. There are 32 integers that are factors of 2760. The greatest factor of 2760 is 2760.

4. How to Find the LCM of 2754 and 2760?

Answer:

Least Common Multiple of 2754 and 2760 = 1266840

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 2760

2760 = 2 x 2 x 2 x 3 x 5 x 23

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

LCM = 1266840 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 x 23

Step 4: Therefore, the least common multiple of 2754 and 2760 is 1266840.