Least Common Multiple of 2750 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 2750 and 2754 the smallest integer that is 3786750 that is divisible by both numbers.

Least Common Multiple (LCM) of 2750 and 2754 is 3786750.

LCM(2750,2754) = 3786750

LCM of 2750 and 2754

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

LCM of:
and

Least Common Multiple of 2750 and 2754

LCM of 2750 and 2754 is 3786750

Least common multiple can be found by multiplying the highest exponent prime factors of 2750 and 2754. First we will calculate the prime factors of 2750 and 2754.

Prime Factorization of 2750


2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 2750 are 2, 5,11. Prime factorization of 2750 in exponential form is:

2750 = 21×53×111

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 2750 and 2754.

LCM(2750,2754) = 21×34×53×111×171
LCM(2750,2754) = 3786750

Factors of 2750

List of positive integer factors of 2750 that divides 2750 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750

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 2750 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 2750 and 2754, than apply into the LCM equation.

GCF(2750,2754) = 2
LCM(2750,2754) = ( 2750 × 2754) / 2
LCM(2750,2754) = 7573500 / 2
LCM(2750,2754) = 3786750

Properties of LCM 2750 and 2754

(i) The LCM of 2754 and 2750 is associative

LCM of 2750 and 2754 = LCM of 2754 and 2750

Related Least Common Multiples of 2750

Related Least Common Multiples of 2754

Frequently Asked Questions on LCM of 2750 and 2754

1. What is the LCM of 2750 and 2754?

Answer: LCM of 2750 and 2754 is 3786750.

2. What are the Factors of 2750?

Answer: Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. There are 16 integers that are factors of 2750. The greatest factor of 2750 is 2750.

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 2750 and 2754?

Answer:

Least Common Multiple of 2750 and 2754 = 3786750

Step 1: Find the prime factorization of 2750

2750 = 2 x 5 x 5 x 5 x 11

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 = 3786750 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 2750 and 2754 is 3786750.