Least Common Multiple of 7439 and 7443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7439 and 7443 the smallest integer that is 55368477 that is divisible by both numbers.

Least Common Multiple (LCM) of 7439 and 7443 is 55368477.

LCM(7439,7443) = 55368477

LCM of 7439 and 7443

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

LCM of:
and

Least Common Multiple of 7439 and 7443

LCM of 7439 and 7443 is 55368477

Least common multiple can be found by multiplying the highest exponent prime factors of 7439 and 7443. First we will calculate the prime factors of 7439 and 7443.

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

Prime Factorization of 7443


3 7443
3 2481
827 827
1

Prime factors of 7443 are 3,827. Prime factorization of 7443 in exponential form is:

7443 = 32×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 7439 and 7443.

LCM(7439,7443) = 32×431×1731×8271
LCM(7439,7443) = 55368477

Factors of 7439

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

1, 43, 173, 7439

Factors of 7443

List of positive integer factors of 7443 that divides 7443 without a remainder.

1, 3, 9, 827, 2481, 7443

Least Common Multiple of 7439 and 7443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7439 and 7443, than apply into the LCM equation.

GCF(7439,7443) = 1
LCM(7439,7443) = ( 7439 × 7443) / 1
LCM(7439,7443) = 55368477 / 1
LCM(7439,7443) = 55368477

Properties of LCM 7439 and 7443

(i) The LCM of 7443 and 7439 is associative

LCM of 7439 and 7443 = LCM of 7443 and 7439

Related Least Common Multiples of 7439

Related Least Common Multiples of 7443

Frequently Asked Questions on LCM of 7439 and 7443

1. What is the LCM of 7439 and 7443?

Answer: LCM of 7439 and 7443 is 55368477.

2. 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.

3. What are the Factors of 7443?

Answer: Factors of 7443 are 1, 3, 9, 827, 2481, 7443. There are 6 integers that are factors of 7443. The greatest factor of 7443 is 7443.

4. How to Find the LCM of 7439 and 7443?

Answer:

Least Common Multiple of 7439 and 7443 = 55368477

Step 1: Find the prime factorization of 7439

7439 = 43 x 173

Step 2: Find the prime factorization of 7443

7443 = 3 x 3 x 827

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

LCM = 55368477 = 3 x 3 x 43 x 173 x 827

Step 4: Therefore, the least common multiple of 7439 and 7443 is 55368477.