Least Common Multiple of 5384 and 5390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5384 and 5390 the smallest integer that is 14509880 that is divisible by both numbers.

Least Common Multiple (LCM) of 5384 and 5390 is 14509880.

LCM(5384,5390) = 14509880

LCM of 5384 and 5390

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

LCM of:
and

Least Common Multiple of 5384 and 5390

LCM of 5384 and 5390 is 14509880

Least common multiple can be found by multiplying the highest exponent prime factors of 5384 and 5390. First we will calculate the prime factors of 5384 and 5390.

Prime Factorization of 5384


2 5384
2 2692
2 1346
673 673
1

Prime factors of 5384 are 2,673. Prime factorization of 5384 in exponential form is:

5384 = 23×6731

Prime Factorization of 5390


2 5390
5 2695
7 539
7 77
11 11
1

Prime factors of 5390 are 2, 5, 7,11. Prime factorization of 5390 in exponential form is:

5390 = 21×51×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5384 and 5390.

LCM(5384,5390) = 23×51×72×111×6731
LCM(5384,5390) = 14509880

Factors of 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1, 2, 4, 8, 673, 1346, 2692, 5384

Factors of 5390

List of positive integer factors of 5390 that divides 5390 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390

Least Common Multiple of 5384 and 5390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5384 and 5390, than apply into the LCM equation.

GCF(5384,5390) = 2
LCM(5384,5390) = ( 5384 × 5390) / 2
LCM(5384,5390) = 29019760 / 2
LCM(5384,5390) = 14509880

Properties of LCM 5384 and 5390

(i) The LCM of 5390 and 5384 is associative

LCM of 5384 and 5390 = LCM of 5390 and 5384

Related Least Common Multiples of 5384

Related Least Common Multiples of 5390

Frequently Asked Questions on LCM of 5384 and 5390

1. What is the LCM of 5384 and 5390?

Answer: LCM of 5384 and 5390 is 14509880.

2. What are the Factors of 5384?

Answer: Factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384. There are 8 integers that are factors of 5384. The greatest factor of 5384 is 5384.

3. What are the Factors of 5390?

Answer: Factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390. There are 24 integers that are factors of 5390. The greatest factor of 5390 is 5390.

4. How to Find the LCM of 5384 and 5390?

Answer:

Least Common Multiple of 5384 and 5390 = 14509880

Step 1: Find the prime factorization of 5384

5384 = 2 x 2 x 2 x 673

Step 2: Find the prime factorization of 5390

5390 = 2 x 5 x 7 x 7 x 11

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

LCM = 14509880 = 2 x 2 x 2 x 5 x 7 x 7 x 11 x 673

Step 4: Therefore, the least common multiple of 5384 and 5390 is 14509880.