Least Common Multiple of 5365 and 5373

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 5373 the smallest integer that is 28826145 that is divisible by both numbers.

Least Common Multiple (LCM) of 5365 and 5373 is 28826145.

LCM(5365,5373) = 28826145

LCM of 5365 and 5373

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

LCM of:
and

Least Common Multiple of 5365 and 5373

LCM of 5365 and 5373 is 28826145

Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5373. First we will calculate the prime factors of 5365 and 5373.

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 5373


3 5373
3 1791
3 597
199 199
1

Prime factors of 5373 are 3,199. Prime factorization of 5373 in exponential form is:

5373 = 33×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5373.

LCM(5365,5373) = 33×51×291×371×1991
LCM(5365,5373) = 28826145

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 5373

List of positive integer factors of 5373 that divides 5373 without a remainder.

1, 3, 9, 27, 199, 597, 1791, 5373

Least Common Multiple of 5365 and 5373 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 5373, than apply into the LCM equation.

GCF(5365,5373) = 1
LCM(5365,5373) = ( 5365 × 5373) / 1
LCM(5365,5373) = 28826145 / 1
LCM(5365,5373) = 28826145

Properties of LCM 5365 and 5373

(i) The LCM of 5373 and 5365 is associative

LCM of 5365 and 5373 = LCM of 5373 and 5365

Related Least Common Multiples of 5365

Related Least Common Multiples of 5373

Frequently Asked Questions on LCM of 5365 and 5373

1. What is the LCM of 5365 and 5373?

Answer: LCM of 5365 and 5373 is 28826145.

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 5373?

Answer: Factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373. There are 8 integers that are factors of 5373. The greatest factor of 5373 is 5373.

4. How to Find the LCM of 5365 and 5373?

Answer:

Least Common Multiple of 5365 and 5373 = 28826145

Step 1: Find the prime factorization of 5365

5365 = 5 x 29 x 37

Step 2: Find the prime factorization of 5373

5373 = 3 x 3 x 3 x 199

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

LCM = 28826145 = 3 x 3 x 3 x 5 x 29 x 37 x 199

Step 4: Therefore, the least common multiple of 5365 and 5373 is 28826145.