Least Common Multiple of 5426 and 5431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5426 and 5431 the smallest integer that is 29468606 that is divisible by both numbers.

Least Common Multiple (LCM) of 5426 and 5431 is 29468606.

LCM(5426,5431) = 29468606

LCM of 5426 and 5431

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

LCM of:
and

Least Common Multiple of 5426 and 5431

LCM of 5426 and 5431 is 29468606

Least common multiple can be found by multiplying the highest exponent prime factors of 5426 and 5431. First we will calculate the prime factors of 5426 and 5431.

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

Prime Factorization of 5431


5431 5431
1

Prime factors of 5431 are 5431. Prime factorization of 5431 in exponential form is:

5431 = 54311

Now multiplying the highest exponent prime factors to calculate the LCM of 5426 and 5431.

LCM(5426,5431) = 21×27131×54311
LCM(5426,5431) = 29468606

Factors of 5426

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

1, 2, 2713, 5426

Factors of 5431

List of positive integer factors of 5431 that divides 5431 without a remainder.

1, 5431

Least Common Multiple of 5426 and 5431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5426 and 5431, than apply into the LCM equation.

GCF(5426,5431) = 1
LCM(5426,5431) = ( 5426 × 5431) / 1
LCM(5426,5431) = 29468606 / 1
LCM(5426,5431) = 29468606

Properties of LCM 5426 and 5431

(i) The LCM of 5431 and 5426 is associative

LCM of 5426 and 5431 = LCM of 5431 and 5426

Related Least Common Multiples of 5426

Related Least Common Multiples of 5431

Frequently Asked Questions on LCM of 5426 and 5431

1. What is the LCM of 5426 and 5431?

Answer: LCM of 5426 and 5431 is 29468606.

2. 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.

3. What are the Factors of 5431?

Answer: Factors of 5431 are 1, 5431. There are 2 integers that are factors of 5431. The greatest factor of 5431 is 5431.

4. How to Find the LCM of 5426 and 5431?

Answer:

Least Common Multiple of 5426 and 5431 = 29468606

Step 1: Find the prime factorization of 5426

5426 = 2 x 2713

Step 2: Find the prime factorization of 5431

5431 = 5431

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

LCM = 29468606 = 2 x 2713 x 5431

Step 4: Therefore, the least common multiple of 5426 and 5431 is 29468606.