Least Common Multiple of 5426 and 5429

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 5429 the smallest integer that is 29457754 that is divisible by both numbers.

Least Common Multiple (LCM) of 5426 and 5429 is 29457754.

LCM(5426,5429) = 29457754

LCM of 5426 and 5429

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

LCM of:
and

Least Common Multiple of 5426 and 5429

LCM of 5426 and 5429 is 29457754

Least common multiple can be found by multiplying the highest exponent prime factors of 5426 and 5429. First we will calculate the prime factors of 5426 and 5429.

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 5429


61 5429
89 89
1

Prime factors of 5429 are 61,89. Prime factorization of 5429 in exponential form is:

5429 = 611×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5426 and 5429.

LCM(5426,5429) = 21×611×891×27131
LCM(5426,5429) = 29457754

Factors of 5426

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

1, 2, 2713, 5426

Factors of 5429

List of positive integer factors of 5429 that divides 5429 without a remainder.

1, 61, 89, 5429

Least Common Multiple of 5426 and 5429 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 5429, than apply into the LCM equation.

GCF(5426,5429) = 1
LCM(5426,5429) = ( 5426 × 5429) / 1
LCM(5426,5429) = 29457754 / 1
LCM(5426,5429) = 29457754

Properties of LCM 5426 and 5429

(i) The LCM of 5429 and 5426 is associative

LCM of 5426 and 5429 = LCM of 5429 and 5426

Related Least Common Multiples of 5426

Related Least Common Multiples of 5429

Frequently Asked Questions on LCM of 5426 and 5429

1. What is the LCM of 5426 and 5429?

Answer: LCM of 5426 and 5429 is 29457754.

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 5429?

Answer: Factors of 5429 are 1, 61, 89, 5429. There are 4 integers that are factors of 5429. The greatest factor of 5429 is 5429.

4. How to Find the LCM of 5426 and 5429?

Answer:

Least Common Multiple of 5426 and 5429 = 29457754

Step 1: Find the prime factorization of 5426

5426 = 2 x 2713

Step 2: Find the prime factorization of 5429

5429 = 61 x 89

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

LCM = 29457754 = 2 x 61 x 89 x 2713

Step 4: Therefore, the least common multiple of 5426 and 5429 is 29457754.