Least Common Multiple of 5385 and 5388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5385 and 5388 the smallest integer that is 9671460 that is divisible by both numbers.

Least Common Multiple (LCM) of 5385 and 5388 is 9671460.

LCM(5385,5388) = 9671460

LCM of 5385 and 5388

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

LCM of:
and

Least Common Multiple of 5385 and 5388

LCM of 5385 and 5388 is 9671460

Least common multiple can be found by multiplying the highest exponent prime factors of 5385 and 5388. First we will calculate the prime factors of 5385 and 5388.

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

Prime Factorization of 5388


2 5388
2 2694
3 1347
449 449
1

Prime factors of 5388 are 2, 3,449. Prime factorization of 5388 in exponential form is:

5388 = 22×31×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 5385 and 5388.

LCM(5385,5388) = 22×31×51×3591×4491
LCM(5385,5388) = 9671460

Factors of 5385

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

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

Factors of 5388

List of positive integer factors of 5388 that divides 5388 without a remainder.

1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388

Least Common Multiple of 5385 and 5388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5385 and 5388, than apply into the LCM equation.

GCF(5385,5388) = 3
LCM(5385,5388) = ( 5385 × 5388) / 3
LCM(5385,5388) = 29014380 / 3
LCM(5385,5388) = 9671460

Properties of LCM 5385 and 5388

(i) The LCM of 5388 and 5385 is associative

LCM of 5385 and 5388 = LCM of 5388 and 5385

Related Least Common Multiples of 5385

Related Least Common Multiples of 5388

Frequently Asked Questions on LCM of 5385 and 5388

1. What is the LCM of 5385 and 5388?

Answer: LCM of 5385 and 5388 is 9671460.

2. 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.

3. What are the Factors of 5388?

Answer: Factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388. There are 12 integers that are factors of 5388. The greatest factor of 5388 is 5388.

4. How to Find the LCM of 5385 and 5388?

Answer:

Least Common Multiple of 5385 and 5388 = 9671460

Step 1: Find the prime factorization of 5385

5385 = 3 x 5 x 359

Step 2: Find the prime factorization of 5388

5388 = 2 x 2 x 3 x 449

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

LCM = 9671460 = 2 x 2 x 3 x 5 x 359 x 449

Step 4: Therefore, the least common multiple of 5385 and 5388 is 9671460.