Least Common Multiple of 5410 and 5414

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 5414 the smallest integer that is 14644870 that is divisible by both numbers.

Least Common Multiple (LCM) of 5410 and 5414 is 14644870.

LCM(5410,5414) = 14644870

LCM of 5410 and 5414

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

LCM of:
and

Least Common Multiple of 5410 and 5414

LCM of 5410 and 5414 is 14644870

Least common multiple can be found by multiplying the highest exponent prime factors of 5410 and 5414. First we will calculate the prime factors of 5410 and 5414.

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 5414


2 5414
2707 2707
1

Prime factors of 5414 are 2,2707. Prime factorization of 5414 in exponential form is:

5414 = 21×27071

Now multiplying the highest exponent prime factors to calculate the LCM of 5410 and 5414.

LCM(5410,5414) = 21×51×5411×27071
LCM(5410,5414) = 14644870

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 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1, 2, 2707, 5414

Least Common Multiple of 5410 and 5414 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 5414, than apply into the LCM equation.

GCF(5410,5414) = 2
LCM(5410,5414) = ( 5410 × 5414) / 2
LCM(5410,5414) = 29289740 / 2
LCM(5410,5414) = 14644870

Properties of LCM 5410 and 5414

(i) The LCM of 5414 and 5410 is associative

LCM of 5410 and 5414 = LCM of 5414 and 5410

Related Least Common Multiples of 5410

Related Least Common Multiples of 5414

Frequently Asked Questions on LCM of 5410 and 5414

1. What is the LCM of 5410 and 5414?

Answer: LCM of 5410 and 5414 is 14644870.

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 5414?

Answer: Factors of 5414 are 1, 2, 2707, 5414. There are 4 integers that are factors of 5414. The greatest factor of 5414 is 5414.

4. How to Find the LCM of 5410 and 5414?

Answer:

Least Common Multiple of 5410 and 5414 = 14644870

Step 1: Find the prime factorization of 5410

5410 = 2 x 5 x 541

Step 2: Find the prime factorization of 5414

5414 = 2 x 2707

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

LCM = 14644870 = 2 x 5 x 541 x 2707

Step 4: Therefore, the least common multiple of 5410 and 5414 is 14644870.