Least Common Multiple of 5456 and 5460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5456 and 5460 the smallest integer that is 7447440 that is divisible by both numbers.

Least Common Multiple (LCM) of 5456 and 5460 is 7447440.

LCM(5456,5460) = 7447440

LCM of 5456 and 5460

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

LCM of:
and

Least Common Multiple of 5456 and 5460

LCM of 5456 and 5460 is 7447440

Least common multiple can be found by multiplying the highest exponent prime factors of 5456 and 5460. First we will calculate the prime factors of 5456 and 5460.

Prime Factorization of 5456


2 5456
2 2728
2 1364
2 682
11 341
31 31
1

Prime factors of 5456 are 2, 11,31. Prime factorization of 5456 in exponential form is:

5456 = 24×111×311

Prime Factorization of 5460


2 5460
2 2730
3 1365
5 455
7 91
13 13
1

Prime factors of 5460 are 2, 3, 5, 7,13. Prime factorization of 5460 in exponential form is:

5460 = 22×31×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5456 and 5460.

LCM(5456,5460) = 24×31×51×71×111×131×311
LCM(5456,5460) = 7447440

Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456

Factors of 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460

Least Common Multiple of 5456 and 5460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5456 and 5460, than apply into the LCM equation.

GCF(5456,5460) = 4
LCM(5456,5460) = ( 5456 × 5460) / 4
LCM(5456,5460) = 29789760 / 4
LCM(5456,5460) = 7447440

Properties of LCM 5456 and 5460

(i) The LCM of 5460 and 5456 is associative

LCM of 5456 and 5460 = LCM of 5460 and 5456

Related Least Common Multiples of 5456

Related Least Common Multiples of 5460

Frequently Asked Questions on LCM of 5456 and 5460

1. What is the LCM of 5456 and 5460?

Answer: LCM of 5456 and 5460 is 7447440.

2. What are the Factors of 5456?

Answer: Factors of 5456 are 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456. There are 20 integers that are factors of 5456. The greatest factor of 5456 is 5456.

3. What are the Factors of 5460?

Answer: Factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460. There are 48 integers that are factors of 5460. The greatest factor of 5460 is 5460.

4. How to Find the LCM of 5456 and 5460?

Answer:

Least Common Multiple of 5456 and 5460 = 7447440

Step 1: Find the prime factorization of 5456

5456 = 2 x 2 x 2 x 2 x 11 x 31

Step 2: Find the prime factorization of 5460

5460 = 2 x 2 x 3 x 5 x 7 x 13

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

LCM = 7447440 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 5456 and 5460 is 7447440.