Least Common Multiple of 7424 and 7429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7424 and 7429 the smallest integer that is 55152896 that is divisible by both numbers.

Least Common Multiple (LCM) of 7424 and 7429 is 55152896.

LCM(7424,7429) = 55152896

LCM of 7424 and 7429

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

LCM of:
and

Least Common Multiple of 7424 and 7429

LCM of 7424 and 7429 is 55152896

Least common multiple can be found by multiplying the highest exponent prime factors of 7424 and 7429. First we will calculate the prime factors of 7424 and 7429.

Prime Factorization of 7424


2 7424
2 3712
2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 7424 are 2,29. Prime factorization of 7424 in exponential form is:

7424 = 28×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7424 and 7429.

LCM(7424,7429) = 28×171×191×231×291
LCM(7424,7429) = 55152896

Factors of 7424

List of positive integer factors of 7424 that divides 7424 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424

Factors of 7429

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

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

Least Common Multiple of 7424 and 7429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7424 and 7429, than apply into the LCM equation.

GCF(7424,7429) = 1
LCM(7424,7429) = ( 7424 × 7429) / 1
LCM(7424,7429) = 55152896 / 1
LCM(7424,7429) = 55152896

Properties of LCM 7424 and 7429

(i) The LCM of 7429 and 7424 is associative

LCM of 7424 and 7429 = LCM of 7429 and 7424

Related Least Common Multiples of 7424

Related Least Common Multiples of 7429

Frequently Asked Questions on LCM of 7424 and 7429

1. What is the LCM of 7424 and 7429?

Answer: LCM of 7424 and 7429 is 55152896.

2. What are the Factors of 7424?

Answer: Factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424. There are 18 integers that are factors of 7424. The greatest factor of 7424 is 7424.

3. 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.

4. How to Find the LCM of 7424 and 7429?

Answer:

Least Common Multiple of 7424 and 7429 = 55152896

Step 1: Find the prime factorization of 7424

7424 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 7429

7429 = 17 x 19 x 23

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

LCM = 55152896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 7424 and 7429 is 55152896.