Least Common Multiple of 7424 and 7428

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 7428 the smallest integer that is 13786368 that is divisible by both numbers.

Least Common Multiple (LCM) of 7424 and 7428 is 13786368.

LCM(7424,7428) = 13786368

LCM of 7424 and 7428

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

LCM of:
and

Least Common Multiple of 7424 and 7428

LCM of 7424 and 7428 is 13786368

Least common multiple can be found by multiplying the highest exponent prime factors of 7424 and 7428. First we will calculate the prime factors of 7424 and 7428.

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 7428


2 7428
2 3714
3 1857
619 619
1

Prime factors of 7428 are 2, 3,619. Prime factorization of 7428 in exponential form is:

7428 = 22×31×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 7424 and 7428.

LCM(7424,7428) = 28×31×291×6191
LCM(7424,7428) = 13786368

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 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428

Least Common Multiple of 7424 and 7428 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 7428, than apply into the LCM equation.

GCF(7424,7428) = 4
LCM(7424,7428) = ( 7424 × 7428) / 4
LCM(7424,7428) = 55145472 / 4
LCM(7424,7428) = 13786368

Properties of LCM 7424 and 7428

(i) The LCM of 7428 and 7424 is associative

LCM of 7424 and 7428 = LCM of 7428 and 7424

Related Least Common Multiples of 7424

Related Least Common Multiples of 7428

Frequently Asked Questions on LCM of 7424 and 7428

1. What is the LCM of 7424 and 7428?

Answer: LCM of 7424 and 7428 is 13786368.

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 7428?

Answer: Factors of 7428 are 1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428. There are 12 integers that are factors of 7428. The greatest factor of 7428 is 7428.

4. How to Find the LCM of 7424 and 7428?

Answer:

Least Common Multiple of 7424 and 7428 = 13786368

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 7428

7428 = 2 x 2 x 3 x 619

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

LCM = 13786368 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 619

Step 4: Therefore, the least common multiple of 7424 and 7428 is 13786368.