Least Common Multiple of 5355 and 5360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5355 and 5360 the smallest integer that is 5740560 that is divisible by both numbers.

Least Common Multiple (LCM) of 5355 and 5360 is 5740560.

LCM(5355,5360) = 5740560

LCM of 5355 and 5360

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

LCM of:
and

Least Common Multiple of 5355 and 5360

LCM of 5355 and 5360 is 5740560

Least common multiple can be found by multiplying the highest exponent prime factors of 5355 and 5360. First we will calculate the prime factors of 5355 and 5360.

Prime Factorization of 5355


3 5355
3 1785
5 595
7 119
17 17
1

Prime factors of 5355 are 3, 5, 7,17. Prime factorization of 5355 in exponential form is:

5355 = 32×51×71×171

Prime Factorization of 5360


2 5360
2 2680
2 1340
2 670
5 335
67 67
1

Prime factors of 5360 are 2, 5,67. Prime factorization of 5360 in exponential form is:

5360 = 24×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5355 and 5360.

LCM(5355,5360) = 24×32×51×71×171×671
LCM(5355,5360) = 5740560

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355

Factors of 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360

Least Common Multiple of 5355 and 5360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5355 and 5360, than apply into the LCM equation.

GCF(5355,5360) = 5
LCM(5355,5360) = ( 5355 × 5360) / 5
LCM(5355,5360) = 28702800 / 5
LCM(5355,5360) = 5740560

Properties of LCM 5355 and 5360

(i) The LCM of 5360 and 5355 is associative

LCM of 5355 and 5360 = LCM of 5360 and 5355

Related Least Common Multiples of 5355

Related Least Common Multiples of 5360

Frequently Asked Questions on LCM of 5355 and 5360

1. What is the LCM of 5355 and 5360?

Answer: LCM of 5355 and 5360 is 5740560.

2. What are the Factors of 5355?

Answer: Factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355. There are 24 integers that are factors of 5355. The greatest factor of 5355 is 5355.

3. What are the Factors of 5360?

Answer: Factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360. There are 20 integers that are factors of 5360. The greatest factor of 5360 is 5360.

4. How to Find the LCM of 5355 and 5360?

Answer:

Least Common Multiple of 5355 and 5360 = 5740560

Step 1: Find the prime factorization of 5355

5355 = 3 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 5360

5360 = 2 x 2 x 2 x 2 x 5 x 67

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

LCM = 5740560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 67

Step 4: Therefore, the least common multiple of 5355 and 5360 is 5740560.