Least Common Multiple of 5418 and 5426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5418 and 5426 the smallest integer that is 14699034 that is divisible by both numbers.

Least Common Multiple (LCM) of 5418 and 5426 is 14699034.

LCM(5418,5426) = 14699034

LCM of 5418 and 5426

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

LCM of:
and

Least Common Multiple of 5418 and 5426

LCM of 5418 and 5426 is 14699034

Least common multiple can be found by multiplying the highest exponent prime factors of 5418 and 5426. First we will calculate the prime factors of 5418 and 5426.

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

Prime Factorization of 5426


2 5426
2713 2713
1

Prime factors of 5426 are 2,2713. Prime factorization of 5426 in exponential form is:

5426 = 21×27131

Now multiplying the highest exponent prime factors to calculate the LCM of 5418 and 5426.

LCM(5418,5426) = 21×32×71×431×27131
LCM(5418,5426) = 14699034

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

Factors of 5426

List of positive integer factors of 5426 that divides 5426 without a remainder.

1, 2, 2713, 5426

Least Common Multiple of 5418 and 5426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5418 and 5426, than apply into the LCM equation.

GCF(5418,5426) = 2
LCM(5418,5426) = ( 5418 × 5426) / 2
LCM(5418,5426) = 29398068 / 2
LCM(5418,5426) = 14699034

Properties of LCM 5418 and 5426

(i) The LCM of 5426 and 5418 is associative

LCM of 5418 and 5426 = LCM of 5426 and 5418

Related Least Common Multiples of 5418

Related Least Common Multiples of 5426

Frequently Asked Questions on LCM of 5418 and 5426

1. What is the LCM of 5418 and 5426?

Answer: LCM of 5418 and 5426 is 14699034.

2. 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.

3. What are the Factors of 5426?

Answer: Factors of 5426 are 1, 2, 2713, 5426. There are 4 integers that are factors of 5426. The greatest factor of 5426 is 5426.

4. How to Find the LCM of 5418 and 5426?

Answer:

Least Common Multiple of 5418 and 5426 = 14699034

Step 1: Find the prime factorization of 5418

5418 = 2 x 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 5426

5426 = 2 x 2713

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

LCM = 14699034 = 2 x 3 x 3 x 7 x 43 x 2713

Step 4: Therefore, the least common multiple of 5418 and 5426 is 14699034.