Least Common Multiple of 5365 and 5370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5365 and 5370 the smallest integer that is 5762010 that is divisible by both numbers.

Least Common Multiple (LCM) of 5365 and 5370 is 5762010.

LCM(5365,5370) = 5762010

LCM of 5365 and 5370

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

LCM of:
and

Least Common Multiple of 5365 and 5370

LCM of 5365 and 5370 is 5762010

Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5370. First we will calculate the prime factors of 5365 and 5370.

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

Prime Factorization of 5370


2 5370
3 2685
5 895
179 179
1

Prime factors of 5370 are 2, 3, 5,179. Prime factorization of 5370 in exponential form is:

5370 = 21×31×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5370.

LCM(5365,5370) = 21×31×51×291×371×1791
LCM(5365,5370) = 5762010

Factors of 5365

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

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

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370

Least Common Multiple of 5365 and 5370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5365 and 5370, than apply into the LCM equation.

GCF(5365,5370) = 5
LCM(5365,5370) = ( 5365 × 5370) / 5
LCM(5365,5370) = 28810050 / 5
LCM(5365,5370) = 5762010

Properties of LCM 5365 and 5370

(i) The LCM of 5370 and 5365 is associative

LCM of 5365 and 5370 = LCM of 5370 and 5365

Related Least Common Multiples of 5365

Related Least Common Multiples of 5370

Frequently Asked Questions on LCM of 5365 and 5370

1. What is the LCM of 5365 and 5370?

Answer: LCM of 5365 and 5370 is 5762010.

2. 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.

3. What are the Factors of 5370?

Answer: Factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370. There are 16 integers that are factors of 5370. The greatest factor of 5370 is 5370.

4. How to Find the LCM of 5365 and 5370?

Answer:

Least Common Multiple of 5365 and 5370 = 5762010

Step 1: Find the prime factorization of 5365

5365 = 5 x 29 x 37

Step 2: Find the prime factorization of 5370

5370 = 2 x 3 x 5 x 179

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

LCM = 5762010 = 2 x 3 x 5 x 29 x 37 x 179

Step 4: Therefore, the least common multiple of 5365 and 5370 is 5762010.