Least Common Multiple of 7436 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 7436 and 7439 the smallest integer that is 55316404 that is divisible by both numbers.

Least Common Multiple (LCM) of 7436 and 7439 is 55316404.

LCM(7436,7439) = 55316404

LCM of 7436 and 7439

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

LCM of:
and

Least Common Multiple of 7436 and 7439

LCM of 7436 and 7439 is 55316404

Least common multiple can be found by multiplying the highest exponent prime factors of 7436 and 7439. First we will calculate the prime factors of 7436 and 7439.

Prime Factorization of 7436


2 7436
2 3718
11 1859
13 169
13 13
1

Prime factors of 7436 are 2, 11,13. Prime factorization of 7436 in exponential form is:

7436 = 22×111×132

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 7436 and 7439.

LCM(7436,7439) = 22×111×132×431×1731
LCM(7436,7439) = 55316404

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436

Factors of 7439

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

1, 43, 173, 7439

Least Common Multiple of 7436 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 7436 and 7439, than apply into the LCM equation.

GCF(7436,7439) = 1
LCM(7436,7439) = ( 7436 × 7439) / 1
LCM(7436,7439) = 55316404 / 1
LCM(7436,7439) = 55316404

Properties of LCM 7436 and 7439

(i) The LCM of 7439 and 7436 is associative

LCM of 7436 and 7439 = LCM of 7439 and 7436

Related Least Common Multiples of 7436

Related Least Common Multiples of 7439

Frequently Asked Questions on LCM of 7436 and 7439

1. What is the LCM of 7436 and 7439?

Answer: LCM of 7436 and 7439 is 55316404.

2. What are the Factors of 7436?

Answer: Factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436. There are 18 integers that are factors of 7436. The greatest factor of 7436 is 7436.

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 7436 and 7439?

Answer:

Least Common Multiple of 7436 and 7439 = 55316404

Step 1: Find the prime factorization of 7436

7436 = 2 x 2 x 11 x 13 x 13

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 = 55316404 = 2 x 2 x 11 x 13 x 13 x 43 x 173

Step 4: Therefore, the least common multiple of 7436 and 7439 is 55316404.