Least Common Multiple of 7431 and 7439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7431 and 7439 the smallest integer that is 55279209 that is divisible by both numbers.

Least Common Multiple (LCM) of 7431 and 7439 is 55279209.

LCM(7431,7439) = 55279209

LCM of 7431 and 7439

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

LCM of:
and

Least Common Multiple of 7431 and 7439

LCM of 7431 and 7439 is 55279209

Least common multiple can be found by multiplying the highest exponent prime factors of 7431 and 7439. First we will calculate the prime factors of 7431 and 7439.

Prime Factorization of 7431


3 7431
2477 2477
1

Prime factors of 7431 are 3,2477. Prime factorization of 7431 in exponential form is:

7431 = 31×24771

Prime Factorization of 7439


43 7439
173 173
1

Prime factors of 7439 are 43,173. Prime factorization of 7439 in exponential form is:

7439 = 431×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7431 and 7439.

LCM(7431,7439) = 31×431×1731×24771
LCM(7431,7439) = 55279209

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1, 3, 2477, 7431

Factors of 7439

List of positive integer factors of 7439 that divides 7439 without a remainder.

1, 43, 173, 7439

Least Common Multiple of 7431 and 7439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7431 and 7439, than apply into the LCM equation.

GCF(7431,7439) = 1
LCM(7431,7439) = ( 7431 × 7439) / 1
LCM(7431,7439) = 55279209 / 1
LCM(7431,7439) = 55279209

Properties of LCM 7431 and 7439

(i) The LCM of 7439 and 7431 is associative

LCM of 7431 and 7439 = LCM of 7439 and 7431

Related Least Common Multiples of 7431

Related Least Common Multiples of 7439

Frequently Asked Questions on LCM of 7431 and 7439

1. What is the LCM of 7431 and 7439?

Answer: LCM of 7431 and 7439 is 55279209.

2. What are the Factors of 7431?

Answer: Factors of 7431 are 1, 3, 2477, 7431. There are 4 integers that are factors of 7431. The greatest factor of 7431 is 7431.

3. What are the Factors of 7439?

Answer: Factors of 7439 are 1, 43, 173, 7439. There are 4 integers that are factors of 7439. The greatest factor of 7439 is 7439.

4. How to Find the LCM of 7431 and 7439?

Answer:

Least Common Multiple of 7431 and 7439 = 55279209

Step 1: Find the prime factorization of 7431

7431 = 3 x 2477

Step 2: Find the prime factorization of 7439

7439 = 43 x 173

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

LCM = 55279209 = 3 x 43 x 173 x 2477

Step 4: Therefore, the least common multiple of 7431 and 7439 is 55279209.