Least Common Multiple of 5360 and 5365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5360 and 5365 the smallest integer that is 5751280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5360 and 5365 is 5751280.

LCM(5360,5365) = 5751280

LCM of 5360 and 5365

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

LCM of:
and

Least Common Multiple of 5360 and 5365

LCM of 5360 and 5365 is 5751280

Least common multiple can be found by multiplying the highest exponent prime factors of 5360 and 5365. First we will calculate the prime factors of 5360 and 5365.

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

Prime Factorization of 5365


5 5365
29 1073
37 37
1

Prime factors of 5365 are 5, 29,37. Prime factorization of 5365 in exponential form is:

5365 = 51×291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5360 and 5365.

LCM(5360,5365) = 24×51×291×371×671
LCM(5360,5365) = 5751280

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

Factors of 5365

List of positive integer factors of 5365 that divides 5365 without a remainder.

1, 5, 29, 37, 145, 185, 1073, 5365

Least Common Multiple of 5360 and 5365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5360 and 5365, than apply into the LCM equation.

GCF(5360,5365) = 5
LCM(5360,5365) = ( 5360 × 5365) / 5
LCM(5360,5365) = 28756400 / 5
LCM(5360,5365) = 5751280

Properties of LCM 5360 and 5365

(i) The LCM of 5365 and 5360 is associative

LCM of 5360 and 5365 = LCM of 5365 and 5360

Related Least Common Multiples of 5360

Related Least Common Multiples of 5365

Frequently Asked Questions on LCM of 5360 and 5365

1. What is the LCM of 5360 and 5365?

Answer: LCM of 5360 and 5365 is 5751280.

2. 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.

3. What are the Factors of 5365?

Answer: Factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365. There are 8 integers that are factors of 5365. The greatest factor of 5365 is 5365.

4. How to Find the LCM of 5360 and 5365?

Answer:

Least Common Multiple of 5360 and 5365 = 5751280

Step 1: Find the prime factorization of 5360

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

Step 2: Find the prime factorization of 5365

5365 = 5 x 29 x 37

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

LCM = 5751280 = 2 x 2 x 2 x 2 x 5 x 29 x 37 x 67

Step 4: Therefore, the least common multiple of 5360 and 5365 is 5751280.