Least Common Multiple of 5410 and 5418

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 5418 the smallest integer that is 14655690 that is divisible by both numbers.

Least Common Multiple (LCM) of 5410 and 5418 is 14655690.

LCM(5410,5418) = 14655690

LCM of 5410 and 5418

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

LCM of:
and

Least Common Multiple of 5410 and 5418

LCM of 5410 and 5418 is 14655690

Least common multiple can be found by multiplying the highest exponent prime factors of 5410 and 5418. First we will calculate the prime factors of 5410 and 5418.

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 5418


2 5418
3 2709
3 903
7 301
43 43
1

Prime factors of 5418 are 2, 3, 7,43. Prime factorization of 5418 in exponential form is:

5418 = 21×32×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5410 and 5418.

LCM(5410,5418) = 21×32×51×71×431×5411
LCM(5410,5418) = 14655690

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 5418

List of positive integer factors of 5418 that divides 5418 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418

Least Common Multiple of 5410 and 5418 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 5418, than apply into the LCM equation.

GCF(5410,5418) = 2
LCM(5410,5418) = ( 5410 × 5418) / 2
LCM(5410,5418) = 29311380 / 2
LCM(5410,5418) = 14655690

Properties of LCM 5410 and 5418

(i) The LCM of 5418 and 5410 is associative

LCM of 5410 and 5418 = LCM of 5418 and 5410

Related Least Common Multiples of 5410

Related Least Common Multiples of 5418

Frequently Asked Questions on LCM of 5410 and 5418

1. What is the LCM of 5410 and 5418?

Answer: LCM of 5410 and 5418 is 14655690.

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 5418?

Answer: Factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418. There are 24 integers that are factors of 5418. The greatest factor of 5418 is 5418.

4. How to Find the LCM of 5410 and 5418?

Answer:

Least Common Multiple of 5410 and 5418 = 14655690

Step 1: Find the prime factorization of 5410

5410 = 2 x 5 x 541

Step 2: Find the prime factorization of 5418

5418 = 2 x 3 x 3 x 7 x 43

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

LCM = 14655690 = 2 x 3 x 3 x 5 x 7 x 43 x 541

Step 4: Therefore, the least common multiple of 5410 and 5418 is 14655690.