Least Common Multiple of 2748 and 2752

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 2752 the smallest integer that is 1890624 that is divisible by both numbers.

Least Common Multiple (LCM) of 2748 and 2752 is 1890624.

LCM(2748,2752) = 1890624

LCM of 2748 and 2752

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

LCM of:
and

Least Common Multiple of 2748 and 2752

LCM of 2748 and 2752 is 1890624

Least common multiple can be found by multiplying the highest exponent prime factors of 2748 and 2752. First we will calculate the prime factors of 2748 and 2752.

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 2752


2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 2752 are 2,43. Prime factorization of 2752 in exponential form is:

2752 = 26×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2748 and 2752.

LCM(2748,2752) = 26×31×431×2291
LCM(2748,2752) = 1890624

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 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752

Least Common Multiple of 2748 and 2752 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 2752, than apply into the LCM equation.

GCF(2748,2752) = 4
LCM(2748,2752) = ( 2748 × 2752) / 4
LCM(2748,2752) = 7562496 / 4
LCM(2748,2752) = 1890624

Properties of LCM 2748 and 2752

(i) The LCM of 2752 and 2748 is associative

LCM of 2748 and 2752 = LCM of 2752 and 2748

Related Least Common Multiples of 2748

Related Least Common Multiples of 2752

Frequently Asked Questions on LCM of 2748 and 2752

1. What is the LCM of 2748 and 2752?

Answer: LCM of 2748 and 2752 is 1890624.

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 2752?

Answer: Factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752. There are 14 integers that are factors of 2752. The greatest factor of 2752 is 2752.

4. How to Find the LCM of 2748 and 2752?

Answer:

Least Common Multiple of 2748 and 2752 = 1890624

Step 1: Find the prime factorization of 2748

2748 = 2 x 2 x 3 x 229

Step 2: Find the prime factorization of 2752

2752 = 2 x 2 x 2 x 2 x 2 x 2 x 43

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

LCM = 1890624 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43 x 229

Step 4: Therefore, the least common multiple of 2748 and 2752 is 1890624.