Least Common Multiple of 7429 and 7436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7429 and 7436 the smallest integer that is 55242044 that is divisible by both numbers.

Least Common Multiple (LCM) of 7429 and 7436 is 55242044.

LCM(7429,7436) = 55242044

LCM of 7429 and 7436

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

LCM of:
and

Least Common Multiple of 7429 and 7436

LCM of 7429 and 7436 is 55242044

Least common multiple can be found by multiplying the highest exponent prime factors of 7429 and 7436. First we will calculate the prime factors of 7429 and 7436.

Prime Factorization of 7429


17 7429
19 437
23 23
1

Prime factors of 7429 are 17, 19,23. Prime factorization of 7429 in exponential form is:

7429 = 171×191×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7429 and 7436.

LCM(7429,7436) = 22×111×132×171×191×231
LCM(7429,7436) = 55242044

Factors of 7429

List of positive integer factors of 7429 that divides 7429 without a remainder.

1, 17, 19, 23, 323, 391, 437, 7429

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

Least Common Multiple of 7429 and 7436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7429 and 7436, than apply into the LCM equation.

GCF(7429,7436) = 1
LCM(7429,7436) = ( 7429 × 7436) / 1
LCM(7429,7436) = 55242044 / 1
LCM(7429,7436) = 55242044

Properties of LCM 7429 and 7436

(i) The LCM of 7436 and 7429 is associative

LCM of 7429 and 7436 = LCM of 7436 and 7429

Related Least Common Multiples of 7429

Related Least Common Multiples of 7436

Frequently Asked Questions on LCM of 7429 and 7436

1. What is the LCM of 7429 and 7436?

Answer: LCM of 7429 and 7436 is 55242044.

2. What are the Factors of 7429?

Answer: Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429. There are 8 integers that are factors of 7429. The greatest factor of 7429 is 7429.

3. 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.

4. How to Find the LCM of 7429 and 7436?

Answer:

Least Common Multiple of 7429 and 7436 = 55242044

Step 1: Find the prime factorization of 7429

7429 = 17 x 19 x 23

Step 2: Find the prime factorization of 7436

7436 = 2 x 2 x 11 x 13 x 13

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

LCM = 55242044 = 2 x 2 x 11 x 13 x 13 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 7429 and 7436 is 55242044.