Least Common Multiple of 5382 and 5385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5382 and 5385 the smallest integer that is 9660690 that is divisible by both numbers.

Least Common Multiple (LCM) of 5382 and 5385 is 9660690.

LCM(5382,5385) = 9660690

LCM of 5382 and 5385

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

LCM of:
and

Least Common Multiple of 5382 and 5385

LCM of 5382 and 5385 is 9660690

Least common multiple can be found by multiplying the highest exponent prime factors of 5382 and 5385. First we will calculate the prime factors of 5382 and 5385.

Prime Factorization of 5382


2 5382
3 2691
3 897
13 299
23 23
1

Prime factors of 5382 are 2, 3, 13,23. Prime factorization of 5382 in exponential form is:

5382 = 21×32×131×231

Prime Factorization of 5385


3 5385
5 1795
359 359
1

Prime factors of 5385 are 3, 5,359. Prime factorization of 5385 in exponential form is:

5385 = 31×51×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 5382 and 5385.

LCM(5382,5385) = 21×32×51×131×231×3591
LCM(5382,5385) = 9660690

Factors of 5382

List of positive integer factors of 5382 that divides 5382 without a remainder.

1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1, 3, 5, 15, 359, 1077, 1795, 5385

Least Common Multiple of 5382 and 5385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5382 and 5385, than apply into the LCM equation.

GCF(5382,5385) = 3
LCM(5382,5385) = ( 5382 × 5385) / 3
LCM(5382,5385) = 28982070 / 3
LCM(5382,5385) = 9660690

Properties of LCM 5382 and 5385

(i) The LCM of 5385 and 5382 is associative

LCM of 5382 and 5385 = LCM of 5385 and 5382

Related Least Common Multiples of 5382

Related Least Common Multiples of 5385

Frequently Asked Questions on LCM of 5382 and 5385

1. What is the LCM of 5382 and 5385?

Answer: LCM of 5382 and 5385 is 9660690.

2. What are the Factors of 5382?

Answer: Factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382. There are 24 integers that are factors of 5382. The greatest factor of 5382 is 5382.

3. What are the Factors of 5385?

Answer: Factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385. There are 8 integers that are factors of 5385. The greatest factor of 5385 is 5385.

4. How to Find the LCM of 5382 and 5385?

Answer:

Least Common Multiple of 5382 and 5385 = 9660690

Step 1: Find the prime factorization of 5382

5382 = 2 x 3 x 3 x 13 x 23

Step 2: Find the prime factorization of 5385

5385 = 3 x 5 x 359

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

LCM = 9660690 = 2 x 3 x 3 x 5 x 13 x 23 x 359

Step 4: Therefore, the least common multiple of 5382 and 5385 is 9660690.