Least Common Multiple of 7428 and 7434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7428 and 7434 the smallest integer that is 9203292 that is divisible by both numbers.

Least Common Multiple (LCM) of 7428 and 7434 is 9203292.

LCM(7428,7434) = 9203292

LCM of 7428 and 7434

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

LCM of:
and

Least Common Multiple of 7428 and 7434

LCM of 7428 and 7434 is 9203292

Least common multiple can be found by multiplying the highest exponent prime factors of 7428 and 7434. First we will calculate the prime factors of 7428 and 7434.

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

Prime Factorization of 7434


2 7434
3 3717
3 1239
7 413
59 59
1

Prime factors of 7434 are 2, 3, 7,59. Prime factorization of 7434 in exponential form is:

7434 = 21×32×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7428 and 7434.

LCM(7428,7434) = 22×32×71×591×6191
LCM(7428,7434) = 9203292

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

Factors of 7434

List of positive integer factors of 7434 that divides 7434 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434

Least Common Multiple of 7428 and 7434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7428 and 7434, than apply into the LCM equation.

GCF(7428,7434) = 6
LCM(7428,7434) = ( 7428 × 7434) / 6
LCM(7428,7434) = 55219752 / 6
LCM(7428,7434) = 9203292

Properties of LCM 7428 and 7434

(i) The LCM of 7434 and 7428 is associative

LCM of 7428 and 7434 = LCM of 7434 and 7428

Related Least Common Multiples of 7428

Related Least Common Multiples of 7434

Frequently Asked Questions on LCM of 7428 and 7434

1. What is the LCM of 7428 and 7434?

Answer: LCM of 7428 and 7434 is 9203292.

2. 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.

3. What are the Factors of 7434?

Answer: Factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434. There are 24 integers that are factors of 7434. The greatest factor of 7434 is 7434.

4. How to Find the LCM of 7428 and 7434?

Answer:

Least Common Multiple of 7428 and 7434 = 9203292

Step 1: Find the prime factorization of 7428

7428 = 2 x 2 x 3 x 619

Step 2: Find the prime factorization of 7434

7434 = 2 x 3 x 3 x 7 x 59

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

LCM = 9203292 = 2 x 2 x 3 x 3 x 7 x 59 x 619

Step 4: Therefore, the least common multiple of 7428 and 7434 is 9203292.