Least Common Multiple of 5415 and 5423

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 5423 the smallest integer that is 29365545 that is divisible by both numbers.

Least Common Multiple (LCM) of 5415 and 5423 is 29365545.

LCM(5415,5423) = 29365545

LCM of 5415 and 5423

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

LCM of:
and

Least Common Multiple of 5415 and 5423

LCM of 5415 and 5423 is 29365545

Least common multiple can be found by multiplying the highest exponent prime factors of 5415 and 5423. First we will calculate the prime factors of 5415 and 5423.

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 5423


11 5423
17 493
29 29
1

Prime factors of 5423 are 11, 17,29. Prime factorization of 5423 in exponential form is:

5423 = 111×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5415 and 5423.

LCM(5415,5423) = 31×51×111×171×192×291
LCM(5415,5423) = 29365545

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 5423

List of positive integer factors of 5423 that divides 5423 without a remainder.

1, 11, 17, 29, 187, 319, 493, 5423

Least Common Multiple of 5415 and 5423 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 5423, than apply into the LCM equation.

GCF(5415,5423) = 1
LCM(5415,5423) = ( 5415 × 5423) / 1
LCM(5415,5423) = 29365545 / 1
LCM(5415,5423) = 29365545

Properties of LCM 5415 and 5423

(i) The LCM of 5423 and 5415 is associative

LCM of 5415 and 5423 = LCM of 5423 and 5415

Related Least Common Multiples of 5415

Related Least Common Multiples of 5423

Frequently Asked Questions on LCM of 5415 and 5423

1. What is the LCM of 5415 and 5423?

Answer: LCM of 5415 and 5423 is 29365545.

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 5423?

Answer: Factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423. There are 8 integers that are factors of 5423. The greatest factor of 5423 is 5423.

4. How to Find the LCM of 5415 and 5423?

Answer:

Least Common Multiple of 5415 and 5423 = 29365545

Step 1: Find the prime factorization of 5415

5415 = 3 x 5 x 19 x 19

Step 2: Find the prime factorization of 5423

5423 = 11 x 17 x 29

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

LCM = 29365545 = 3 x 5 x 11 x 17 x 19 x 19 x 29

Step 4: Therefore, the least common multiple of 5415 and 5423 is 29365545.