Least Common Multiple of 5414 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 5414 and 5418 the smallest integer that is 14666526 that is divisible by both numbers.

Least Common Multiple (LCM) of 5414 and 5418 is 14666526.

LCM(5414,5418) = 14666526

LCM of 5414 and 5418

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

LCM of:
and

Least Common Multiple of 5414 and 5418

LCM of 5414 and 5418 is 14666526

Least common multiple can be found by multiplying the highest exponent prime factors of 5414 and 5418. First we will calculate the prime factors of 5414 and 5418.

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

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 5414 and 5418.

LCM(5414,5418) = 21×32×71×431×27071
LCM(5414,5418) = 14666526

Factors of 5414

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

1, 2, 2707, 5414

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 5414 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 5414 and 5418, than apply into the LCM equation.

GCF(5414,5418) = 2
LCM(5414,5418) = ( 5414 × 5418) / 2
LCM(5414,5418) = 29333052 / 2
LCM(5414,5418) = 14666526

Properties of LCM 5414 and 5418

(i) The LCM of 5418 and 5414 is associative

LCM of 5414 and 5418 = LCM of 5418 and 5414

Related Least Common Multiples of 5414

Related Least Common Multiples of 5418

Frequently Asked Questions on LCM of 5414 and 5418

1. What is the LCM of 5414 and 5418?

Answer: LCM of 5414 and 5418 is 14666526.

2. 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.

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 5414 and 5418?

Answer:

Least Common Multiple of 5414 and 5418 = 14666526

Step 1: Find the prime factorization of 5414

5414 = 2 x 2707

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 = 14666526 = 2 x 3 x 3 x 7 x 43 x 2707

Step 4: Therefore, the least common multiple of 5414 and 5418 is 14666526.