Least Common Multiple of 2744 and 2750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2744 and 2750 the smallest integer that is 3773000 that is divisible by both numbers.

Least Common Multiple (LCM) of 2744 and 2750 is 3773000.

LCM(2744,2750) = 3773000

LCM of 2744 and 2750

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

LCM of:
and

Least Common Multiple of 2744 and 2750

LCM of 2744 and 2750 is 3773000

Least common multiple can be found by multiplying the highest exponent prime factors of 2744 and 2750. First we will calculate the prime factors of 2744 and 2750.

Prime Factorization of 2744


2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 2744 are 2,7. Prime factorization of 2744 in exponential form is:

2744 = 23×73

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2744 and 2750.

LCM(2744,2750) = 23×53×73×111
LCM(2744,2750) = 3773000

Factors of 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744

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

Least Common Multiple of 2744 and 2750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2744 and 2750, than apply into the LCM equation.

GCF(2744,2750) = 2
LCM(2744,2750) = ( 2744 × 2750) / 2
LCM(2744,2750) = 7546000 / 2
LCM(2744,2750) = 3773000

Properties of LCM 2744 and 2750

(i) The LCM of 2750 and 2744 is associative

LCM of 2744 and 2750 = LCM of 2750 and 2744

Related Least Common Multiples of 2744

Related Least Common Multiples of 2750

Frequently Asked Questions on LCM of 2744 and 2750

1. What is the LCM of 2744 and 2750?

Answer: LCM of 2744 and 2750 is 3773000.

2. What are the Factors of 2744?

Answer: Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744. There are 16 integers that are factors of 2744. The greatest factor of 2744 is 2744.

3. 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.

4. How to Find the LCM of 2744 and 2750?

Answer:

Least Common Multiple of 2744 and 2750 = 3773000

Step 1: Find the prime factorization of 2744

2744 = 2 x 2 x 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 2750

2750 = 2 x 5 x 5 x 5 x 11

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

LCM = 3773000 = 2 x 2 x 2 x 5 x 5 x 5 x 7 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 2744 and 2750 is 3773000.