Least Common Multiple of 7424 and 7430

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 7430 the smallest integer that is 27580160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7424 and 7430 is 27580160.

LCM(7424,7430) = 27580160

LCM of 7424 and 7430

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

LCM of:
and

Least Common Multiple of 7424 and 7430

LCM of 7424 and 7430 is 27580160

Least common multiple can be found by multiplying the highest exponent prime factors of 7424 and 7430. First we will calculate the prime factors of 7424 and 7430.

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 7430


2 7430
5 3715
743 743
1

Prime factors of 7430 are 2, 5,743. Prime factorization of 7430 in exponential form is:

7430 = 21×51×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 7424 and 7430.

LCM(7424,7430) = 28×51×291×7431
LCM(7424,7430) = 27580160

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 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1, 2, 5, 10, 743, 1486, 3715, 7430

Least Common Multiple of 7424 and 7430 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 7430, than apply into the LCM equation.

GCF(7424,7430) = 2
LCM(7424,7430) = ( 7424 × 7430) / 2
LCM(7424,7430) = 55160320 / 2
LCM(7424,7430) = 27580160

Properties of LCM 7424 and 7430

(i) The LCM of 7430 and 7424 is associative

LCM of 7424 and 7430 = LCM of 7430 and 7424

Related Least Common Multiples of 7424

Related Least Common Multiples of 7430

Frequently Asked Questions on LCM of 7424 and 7430

1. What is the LCM of 7424 and 7430?

Answer: LCM of 7424 and 7430 is 27580160.

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 7430?

Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.

4. How to Find the LCM of 7424 and 7430?

Answer:

Least Common Multiple of 7424 and 7430 = 27580160

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 7430

7430 = 2 x 5 x 743

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

LCM = 27580160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29 x 743

Step 4: Therefore, the least common multiple of 7424 and 7430 is 27580160.