Least Common Multiple of 2748 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 2748 and 2754 the smallest integer that is 1261332 that is divisible by both numbers.

Least Common Multiple (LCM) of 2748 and 2754 is 1261332.

LCM(2748,2754) = 1261332

LCM of 2748 and 2754

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

LCM of:
and

Least Common Multiple of 2748 and 2754

LCM of 2748 and 2754 is 1261332

Least common multiple can be found by multiplying the highest exponent prime factors of 2748 and 2754. First we will calculate the prime factors of 2748 and 2754.

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 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 2748 and 2754.

LCM(2748,2754) = 22×34×171×2291
LCM(2748,2754) = 1261332

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 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 2748 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 2748 and 2754, than apply into the LCM equation.

GCF(2748,2754) = 6
LCM(2748,2754) = ( 2748 × 2754) / 6
LCM(2748,2754) = 7567992 / 6
LCM(2748,2754) = 1261332

Properties of LCM 2748 and 2754

(i) The LCM of 2754 and 2748 is associative

LCM of 2748 and 2754 = LCM of 2754 and 2748

Related Least Common Multiples of 2748

Related Least Common Multiples of 2754

Frequently Asked Questions on LCM of 2748 and 2754

1. What is the LCM of 2748 and 2754?

Answer: LCM of 2748 and 2754 is 1261332.

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 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 2748 and 2754?

Answer:

Least Common Multiple of 2748 and 2754 = 1261332

Step 1: Find the prime factorization of 2748

2748 = 2 x 2 x 3 x 229

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 = 1261332 = 2 x 2 x 3 x 3 x 3 x 3 x 17 x 229

Step 4: Therefore, the least common multiple of 2748 and 2754 is 1261332.