Least Common Multiple of 5379 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 5379 and 5385 the smallest integer that is 9655305 that is divisible by both numbers.

Least Common Multiple (LCM) of 5379 and 5385 is 9655305.

LCM(5379,5385) = 9655305

LCM of 5379 and 5385

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

LCM of:
and

Least Common Multiple of 5379 and 5385

LCM of 5379 and 5385 is 9655305

Least common multiple can be found by multiplying the highest exponent prime factors of 5379 and 5385. First we will calculate the prime factors of 5379 and 5385.

Prime Factorization of 5379


3 5379
11 1793
163 163
1

Prime factors of 5379 are 3, 11,163. Prime factorization of 5379 in exponential form is:

5379 = 31×111×1631

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 5379 and 5385.

LCM(5379,5385) = 31×51×111×1631×3591
LCM(5379,5385) = 9655305

Factors of 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1, 3, 11, 33, 163, 489, 1793, 5379

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 5379 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 5379 and 5385, than apply into the LCM equation.

GCF(5379,5385) = 3
LCM(5379,5385) = ( 5379 × 5385) / 3
LCM(5379,5385) = 28965915 / 3
LCM(5379,5385) = 9655305

Properties of LCM 5379 and 5385

(i) The LCM of 5385 and 5379 is associative

LCM of 5379 and 5385 = LCM of 5385 and 5379

Related Least Common Multiples of 5379

Related Least Common Multiples of 5385

Frequently Asked Questions on LCM of 5379 and 5385

1. What is the LCM of 5379 and 5385?

Answer: LCM of 5379 and 5385 is 9655305.

2. What are the Factors of 5379?

Answer: Factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379. There are 8 integers that are factors of 5379. The greatest factor of 5379 is 5379.

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 5379 and 5385?

Answer:

Least Common Multiple of 5379 and 5385 = 9655305

Step 1: Find the prime factorization of 5379

5379 = 3 x 11 x 163

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 = 9655305 = 3 x 5 x 11 x 163 x 359

Step 4: Therefore, the least common multiple of 5379 and 5385 is 9655305.