Least Common Multiple of 7439 and 7445

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 7445 the smallest integer that is 55383355 that is divisible by both numbers.

Least Common Multiple (LCM) of 7439 and 7445 is 55383355.

LCM(7439,7445) = 55383355

LCM of 7439 and 7445

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

LCM of:
and

Least Common Multiple of 7439 and 7445

LCM of 7439 and 7445 is 55383355

Least common multiple can be found by multiplying the highest exponent prime factors of 7439 and 7445. First we will calculate the prime factors of 7439 and 7445.

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 7445


5 7445
1489 1489
1

Prime factors of 7445 are 5,1489. Prime factorization of 7445 in exponential form is:

7445 = 51×14891

Now multiplying the highest exponent prime factors to calculate the LCM of 7439 and 7445.

LCM(7439,7445) = 51×431×1731×14891
LCM(7439,7445) = 55383355

Factors of 7439

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

1, 43, 173, 7439

Factors of 7445

List of positive integer factors of 7445 that divides 7445 without a remainder.

1, 5, 1489, 7445

Least Common Multiple of 7439 and 7445 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 7445, than apply into the LCM equation.

GCF(7439,7445) = 1
LCM(7439,7445) = ( 7439 × 7445) / 1
LCM(7439,7445) = 55383355 / 1
LCM(7439,7445) = 55383355

Properties of LCM 7439 and 7445

(i) The LCM of 7445 and 7439 is associative

LCM of 7439 and 7445 = LCM of 7445 and 7439

Related Least Common Multiples of 7439

Related Least Common Multiples of 7445

Frequently Asked Questions on LCM of 7439 and 7445

1. What is the LCM of 7439 and 7445?

Answer: LCM of 7439 and 7445 is 55383355.

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 7445?

Answer: Factors of 7445 are 1, 5, 1489, 7445. There are 4 integers that are factors of 7445. The greatest factor of 7445 is 7445.

4. How to Find the LCM of 7439 and 7445?

Answer:

Least Common Multiple of 7439 and 7445 = 55383355

Step 1: Find the prime factorization of 7439

7439 = 43 x 173

Step 2: Find the prime factorization of 7445

7445 = 5 x 1489

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

LCM = 55383355 = 5 x 43 x 173 x 1489

Step 4: Therefore, the least common multiple of 7439 and 7445 is 55383355.