Least Common Multiple of 2752 and 2760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2752 and 2760 the smallest integer that is 949440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2752 and 2760 is 949440.

LCM(2752,2760) = 949440

LCM of 2752 and 2760

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

LCM of:
and

Least Common Multiple of 2752 and 2760

LCM of 2752 and 2760 is 949440

Least common multiple can be found by multiplying the highest exponent prime factors of 2752 and 2760. First we will calculate the prime factors of 2752 and 2760.

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

Prime Factorization of 2760


2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 2760 are 2, 3, 5,23. Prime factorization of 2760 in exponential form is:

2760 = 23×31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2752 and 2760.

LCM(2752,2760) = 26×31×51×231×431
LCM(2752,2760) = 949440

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

Factors of 2760

List of positive integer factors of 2760 that divides 2760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760

Least Common Multiple of 2752 and 2760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2752 and 2760, than apply into the LCM equation.

GCF(2752,2760) = 8
LCM(2752,2760) = ( 2752 × 2760) / 8
LCM(2752,2760) = 7595520 / 8
LCM(2752,2760) = 949440

Properties of LCM 2752 and 2760

(i) The LCM of 2760 and 2752 is associative

LCM of 2752 and 2760 = LCM of 2760 and 2752

Related Least Common Multiples of 2752

Related Least Common Multiples of 2760

Frequently Asked Questions on LCM of 2752 and 2760

1. What is the LCM of 2752 and 2760?

Answer: LCM of 2752 and 2760 is 949440.

2. 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.

3. What are the Factors of 2760?

Answer: Factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760. There are 32 integers that are factors of 2760. The greatest factor of 2760 is 2760.

4. How to Find the LCM of 2752 and 2760?

Answer:

Least Common Multiple of 2752 and 2760 = 949440

Step 1: Find the prime factorization of 2752

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

Step 2: Find the prime factorization of 2760

2760 = 2 x 2 x 2 x 3 x 5 x 23

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

LCM = 949440 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 43

Step 4: Therefore, the least common multiple of 2752 and 2760 is 949440.