Least Common Multiple of 2744 and 2748

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 2748 the smallest integer that is 1885128 that is divisible by both numbers.

Least Common Multiple (LCM) of 2744 and 2748 is 1885128.

LCM(2744,2748) = 1885128

LCM of 2744 and 2748

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

LCM of:
and

Least Common Multiple of 2744 and 2748

LCM of 2744 and 2748 is 1885128

Least common multiple can be found by multiplying the highest exponent prime factors of 2744 and 2748. First we will calculate the prime factors of 2744 and 2748.

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 2748


2 2748
2 1374
3 687
229 229
1

Prime factors of 2748 are 2, 3,229. Prime factorization of 2748 in exponential form is:

2748 = 22×31×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 2744 and 2748.

LCM(2744,2748) = 23×31×73×2291
LCM(2744,2748) = 1885128

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 2748

List of positive integer factors of 2748 that divides 2748 without a remainder.

1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748

Least Common Multiple of 2744 and 2748 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 2748, than apply into the LCM equation.

GCF(2744,2748) = 4
LCM(2744,2748) = ( 2744 × 2748) / 4
LCM(2744,2748) = 7540512 / 4
LCM(2744,2748) = 1885128

Properties of LCM 2744 and 2748

(i) The LCM of 2748 and 2744 is associative

LCM of 2744 and 2748 = LCM of 2748 and 2744

Related Least Common Multiples of 2744

Related Least Common Multiples of 2748

Frequently Asked Questions on LCM of 2744 and 2748

1. What is the LCM of 2744 and 2748?

Answer: LCM of 2744 and 2748 is 1885128.

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 2748?

Answer: Factors of 2748 are 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748. There are 12 integers that are factors of 2748. The greatest factor of 2748 is 2748.

4. How to Find the LCM of 2744 and 2748?

Answer:

Least Common Multiple of 2744 and 2748 = 1885128

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 2748

2748 = 2 x 2 x 3 x 229

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

LCM = 1885128 = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 229

Step 4: Therefore, the least common multiple of 2744 and 2748 is 1885128.