Least Common Multiple of 5453 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 5453 and 5460 the smallest integer that is 4253340 that is divisible by both numbers.

Least Common Multiple (LCM) of 5453 and 5460 is 4253340.

LCM(5453,5460) = 4253340

LCM of 5453 and 5460

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

LCM of:
and

Least Common Multiple of 5453 and 5460

LCM of 5453 and 5460 is 4253340

Least common multiple can be found by multiplying the highest exponent prime factors of 5453 and 5460. First we will calculate the prime factors of 5453 and 5460.

Prime Factorization of 5453


7 5453
19 779
41 41
1

Prime factors of 5453 are 7, 19,41. Prime factorization of 5453 in exponential form is:

5453 = 71×191×411

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 5453 and 5460.

LCM(5453,5460) = 22×31×51×71×131×191×411
LCM(5453,5460) = 4253340

Factors of 5453

List of positive integer factors of 5453 that divides 5453 without a remainder.

1, 7, 19, 41, 133, 287, 779, 5453

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 5453 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 5453 and 5460, than apply into the LCM equation.

GCF(5453,5460) = 7
LCM(5453,5460) = ( 5453 × 5460) / 7
LCM(5453,5460) = 29773380 / 7
LCM(5453,5460) = 4253340

Properties of LCM 5453 and 5460

(i) The LCM of 5460 and 5453 is associative

LCM of 5453 and 5460 = LCM of 5460 and 5453

Related Least Common Multiples of 5453

Related Least Common Multiples of 5460

Frequently Asked Questions on LCM of 5453 and 5460

1. What is the LCM of 5453 and 5460?

Answer: LCM of 5453 and 5460 is 4253340.

2. What are the Factors of 5453?

Answer: Factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453. There are 8 integers that are factors of 5453. The greatest factor of 5453 is 5453.

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 5453 and 5460?

Answer:

Least Common Multiple of 5453 and 5460 = 4253340

Step 1: Find the prime factorization of 5453

5453 = 7 x 19 x 41

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 = 4253340 = 2 x 2 x 3 x 5 x 7 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 5453 and 5460 is 4253340.