Least Common Multiple of 5410 and 5415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5410 and 5415 the smallest integer that is 5859030 that is divisible by both numbers.

Least Common Multiple (LCM) of 5410 and 5415 is 5859030.

LCM(5410,5415) = 5859030

LCM of 5410 and 5415

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

LCM of:
and

Least Common Multiple of 5410 and 5415

LCM of 5410 and 5415 is 5859030

Least common multiple can be found by multiplying the highest exponent prime factors of 5410 and 5415. First we will calculate the prime factors of 5410 and 5415.

Prime Factorization of 5410


2 5410
5 2705
541 541
1

Prime factors of 5410 are 2, 5,541. Prime factorization of 5410 in exponential form is:

5410 = 21×51×5411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5410 and 5415.

LCM(5410,5415) = 21×31×51×192×5411
LCM(5410,5415) = 5859030

Factors of 5410

List of positive integer factors of 5410 that divides 5410 without a remainder.

1, 2, 5, 10, 541, 1082, 2705, 5410

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

Least Common Multiple of 5410 and 5415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5410 and 5415, than apply into the LCM equation.

GCF(5410,5415) = 5
LCM(5410,5415) = ( 5410 × 5415) / 5
LCM(5410,5415) = 29295150 / 5
LCM(5410,5415) = 5859030

Properties of LCM 5410 and 5415

(i) The LCM of 5415 and 5410 is associative

LCM of 5410 and 5415 = LCM of 5415 and 5410

Related Least Common Multiples of 5410

Related Least Common Multiples of 5415

Frequently Asked Questions on LCM of 5410 and 5415

1. What is the LCM of 5410 and 5415?

Answer: LCM of 5410 and 5415 is 5859030.

2. What are the Factors of 5410?

Answer: Factors of 5410 are 1, 2, 5, 10, 541, 1082, 2705, 5410. There are 8 integers that are factors of 5410. The greatest factor of 5410 is 5410.

3. 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.

4. How to Find the LCM of 5410 and 5415?

Answer:

Least Common Multiple of 5410 and 5415 = 5859030

Step 1: Find the prime factorization of 5410

5410 = 2 x 5 x 541

Step 2: Find the prime factorization of 5415

5415 = 3 x 5 x 19 x 19

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

LCM = 5859030 = 2 x 3 x 5 x 19 x 19 x 541

Step 4: Therefore, the least common multiple of 5410 and 5415 is 5859030.