Least Common Multiple of 7424 and 7432

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 7432 the smallest integer that is 6896896 that is divisible by both numbers.

Least Common Multiple (LCM) of 7424 and 7432 is 6896896.

LCM(7424,7432) = 6896896

LCM of 7424 and 7432

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

LCM of:
and

Least Common Multiple of 7424 and 7432

LCM of 7424 and 7432 is 6896896

Least common multiple can be found by multiplying the highest exponent prime factors of 7424 and 7432. First we will calculate the prime factors of 7424 and 7432.

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 7432


2 7432
2 3716
2 1858
929 929
1

Prime factors of 7432 are 2,929. Prime factorization of 7432 in exponential form is:

7432 = 23×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 7424 and 7432.

LCM(7424,7432) = 28×291×9291
LCM(7424,7432) = 6896896

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 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1, 2, 4, 8, 929, 1858, 3716, 7432

Least Common Multiple of 7424 and 7432 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 7432, than apply into the LCM equation.

GCF(7424,7432) = 8
LCM(7424,7432) = ( 7424 × 7432) / 8
LCM(7424,7432) = 55175168 / 8
LCM(7424,7432) = 6896896

Properties of LCM 7424 and 7432

(i) The LCM of 7432 and 7424 is associative

LCM of 7424 and 7432 = LCM of 7432 and 7424

Related Least Common Multiples of 7424

Related Least Common Multiples of 7432

Frequently Asked Questions on LCM of 7424 and 7432

1. What is the LCM of 7424 and 7432?

Answer: LCM of 7424 and 7432 is 6896896.

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 7432?

Answer: Factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432. There are 8 integers that are factors of 7432. The greatest factor of 7432 is 7432.

4. How to Find the LCM of 7424 and 7432?

Answer:

Least Common Multiple of 7424 and 7432 = 6896896

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 7432

7432 = 2 x 2 x 2 x 929

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

LCM = 6896896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29 x 929

Step 4: Therefore, the least common multiple of 7424 and 7432 is 6896896.