Least Common Multiple of 2744 and 2745

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 2745 the smallest integer that is 7532280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2744 and 2745 is 7532280.

LCM(2744,2745) = 7532280

LCM of 2744 and 2745

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

LCM of:
and

Least Common Multiple of 2744 and 2745

LCM of 2744 and 2745 is 7532280

Least common multiple can be found by multiplying the highest exponent prime factors of 2744 and 2745. First we will calculate the prime factors of 2744 and 2745.

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 2745


3 2745
3 915
5 305
61 61
1

Prime factors of 2745 are 3, 5,61. Prime factorization of 2745 in exponential form is:

2745 = 32×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2744 and 2745.

LCM(2744,2745) = 23×32×51×73×611
LCM(2744,2745) = 7532280

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 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745

Least Common Multiple of 2744 and 2745 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 2745, than apply into the LCM equation.

GCF(2744,2745) = 1
LCM(2744,2745) = ( 2744 × 2745) / 1
LCM(2744,2745) = 7532280 / 1
LCM(2744,2745) = 7532280

Properties of LCM 2744 and 2745

(i) The LCM of 2745 and 2744 is associative

LCM of 2744 and 2745 = LCM of 2745 and 2744

Related Least Common Multiples of 2744

Related Least Common Multiples of 2745

Frequently Asked Questions on LCM of 2744 and 2745

1. What is the LCM of 2744 and 2745?

Answer: LCM of 2744 and 2745 is 7532280.

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 2745?

Answer: Factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745. There are 12 integers that are factors of 2745. The greatest factor of 2745 is 2745.

4. How to Find the LCM of 2744 and 2745?

Answer:

Least Common Multiple of 2744 and 2745 = 7532280

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 2745

2745 = 3 x 3 x 5 x 61

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

LCM = 7532280 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 7 x 61

Step 4: Therefore, the least common multiple of 2744 and 2745 is 7532280.