Least Common Multiple of 5415 and 5422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5415 and 5422 the smallest integer that is 29360130 that is divisible by both numbers.

Least Common Multiple (LCM) of 5415 and 5422 is 29360130.

LCM(5415,5422) = 29360130

LCM of 5415 and 5422

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

LCM of:
and

Least Common Multiple of 5415 and 5422

LCM of 5415 and 5422 is 29360130

Least common multiple can be found by multiplying the highest exponent prime factors of 5415 and 5422. First we will calculate the prime factors of 5415 and 5422.

Prime Factorization of 5415


3 5415
5 1805
19 361
19 19
1

Prime factors of 5415 are 3, 5,19. Prime factorization of 5415 in exponential form is:

5415 = 31×51×192

Prime Factorization of 5422


2 5422
2711 2711
1

Prime factors of 5422 are 2,2711. Prime factorization of 5422 in exponential form is:

5422 = 21×27111

Now multiplying the highest exponent prime factors to calculate the LCM of 5415 and 5422.

LCM(5415,5422) = 21×31×51×192×27111
LCM(5415,5422) = 29360130

Factors of 5415

List of positive integer factors of 5415 that divides 5415 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415

Factors of 5422

List of positive integer factors of 5422 that divides 5422 without a remainder.

1, 2, 2711, 5422

Least Common Multiple of 5415 and 5422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5415 and 5422, than apply into the LCM equation.

GCF(5415,5422) = 1
LCM(5415,5422) = ( 5415 × 5422) / 1
LCM(5415,5422) = 29360130 / 1
LCM(5415,5422) = 29360130

Properties of LCM 5415 and 5422

(i) The LCM of 5422 and 5415 is associative

LCM of 5415 and 5422 = LCM of 5422 and 5415

Related Least Common Multiples of 5415

Related Least Common Multiples of 5422

Frequently Asked Questions on LCM of 5415 and 5422

1. What is the LCM of 5415 and 5422?

Answer: LCM of 5415 and 5422 is 29360130.

2. What are the Factors of 5415?

Answer: Factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415. There are 12 integers that are factors of 5415. The greatest factor of 5415 is 5415.

3. What are the Factors of 5422?

Answer: Factors of 5422 are 1, 2, 2711, 5422. There are 4 integers that are factors of 5422. The greatest factor of 5422 is 5422.

4. How to Find the LCM of 5415 and 5422?

Answer:

Least Common Multiple of 5415 and 5422 = 29360130

Step 1: Find the prime factorization of 5415

5415 = 3 x 5 x 19 x 19

Step 2: Find the prime factorization of 5422

5422 = 2 x 2711

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

LCM = 29360130 = 2 x 3 x 5 x 19 x 19 x 2711

Step 4: Therefore, the least common multiple of 5415 and 5422 is 29360130.