Least Common Multiple of 2748 and 2753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2748 and 2753 the smallest integer that is 7565244 that is divisible by both numbers.

Least Common Multiple (LCM) of 2748 and 2753 is 7565244.

LCM(2748,2753) = 7565244

LCM of 2748 and 2753

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

LCM of:
and

Least Common Multiple of 2748 and 2753

LCM of 2748 and 2753 is 7565244

Least common multiple can be found by multiplying the highest exponent prime factors of 2748 and 2753. First we will calculate the prime factors of 2748 and 2753.

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

Prime Factorization of 2753


2753 2753
1

Prime factors of 2753 are 2753. Prime factorization of 2753 in exponential form is:

2753 = 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 2748 and 2753.

LCM(2748,2753) = 22×31×2291×27531
LCM(2748,2753) = 7565244

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

Factors of 2753

List of positive integer factors of 2753 that divides 2753 without a remainder.

1, 2753

Least Common Multiple of 2748 and 2753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2748 and 2753, than apply into the LCM equation.

GCF(2748,2753) = 1
LCM(2748,2753) = ( 2748 × 2753) / 1
LCM(2748,2753) = 7565244 / 1
LCM(2748,2753) = 7565244

Properties of LCM 2748 and 2753

(i) The LCM of 2753 and 2748 is associative

LCM of 2748 and 2753 = LCM of 2753 and 2748

Related Least Common Multiples of 2748

Related Least Common Multiples of 2753

Frequently Asked Questions on LCM of 2748 and 2753

1. What is the LCM of 2748 and 2753?

Answer: LCM of 2748 and 2753 is 7565244.

2. 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.

3. What are the Factors of 2753?

Answer: Factors of 2753 are 1, 2753. There are 2 integers that are factors of 2753. The greatest factor of 2753 is 2753.

4. How to Find the LCM of 2748 and 2753?

Answer:

Least Common Multiple of 2748 and 2753 = 7565244

Step 1: Find the prime factorization of 2748

2748 = 2 x 2 x 3 x 229

Step 2: Find the prime factorization of 2753

2753 = 2753

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

LCM = 7565244 = 2 x 2 x 3 x 229 x 2753

Step 4: Therefore, the least common multiple of 2748 and 2753 is 7565244.