Least Common Multiple of 5426 and 5433

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 5433 the smallest integer that is 29479458 that is divisible by both numbers.

Least Common Multiple (LCM) of 5426 and 5433 is 29479458.

LCM(5426,5433) = 29479458

LCM of 5426 and 5433

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

LCM of:
and

Least Common Multiple of 5426 and 5433

LCM of 5426 and 5433 is 29479458

Least common multiple can be found by multiplying the highest exponent prime factors of 5426 and 5433. First we will calculate the prime factors of 5426 and 5433.

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 5433


3 5433
1811 1811
1

Prime factors of 5433 are 3,1811. Prime factorization of 5433 in exponential form is:

5433 = 31×18111

Now multiplying the highest exponent prime factors to calculate the LCM of 5426 and 5433.

LCM(5426,5433) = 21×31×18111×27131
LCM(5426,5433) = 29479458

Factors of 5426

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

1, 2, 2713, 5426

Factors of 5433

List of positive integer factors of 5433 that divides 5433 without a remainder.

1, 3, 1811, 5433

Least Common Multiple of 5426 and 5433 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 5433, than apply into the LCM equation.

GCF(5426,5433) = 1
LCM(5426,5433) = ( 5426 × 5433) / 1
LCM(5426,5433) = 29479458 / 1
LCM(5426,5433) = 29479458

Properties of LCM 5426 and 5433

(i) The LCM of 5433 and 5426 is associative

LCM of 5426 and 5433 = LCM of 5433 and 5426

Related Least Common Multiples of 5426

Related Least Common Multiples of 5433

Frequently Asked Questions on LCM of 5426 and 5433

1. What is the LCM of 5426 and 5433?

Answer: LCM of 5426 and 5433 is 29479458.

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 5433?

Answer: Factors of 5433 are 1, 3, 1811, 5433. There are 4 integers that are factors of 5433. The greatest factor of 5433 is 5433.

4. How to Find the LCM of 5426 and 5433?

Answer:

Least Common Multiple of 5426 and 5433 = 29479458

Step 1: Find the prime factorization of 5426

5426 = 2 x 2713

Step 2: Find the prime factorization of 5433

5433 = 3 x 1811

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

LCM = 29479458 = 2 x 3 x 1811 x 2713

Step 4: Therefore, the least common multiple of 5426 and 5433 is 29479458.