Least Common Multiple of 7434 and 7438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7434 and 7438 the smallest integer that is 27647046 that is divisible by both numbers.

Least Common Multiple (LCM) of 7434 and 7438 is 27647046.

LCM(7434,7438) = 27647046

LCM of 7434 and 7438

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

LCM of:
and

Least Common Multiple of 7434 and 7438

LCM of 7434 and 7438 is 27647046

Least common multiple can be found by multiplying the highest exponent prime factors of 7434 and 7438. First we will calculate the prime factors of 7434 and 7438.

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

Prime Factorization of 7438


2 7438
3719 3719
1

Prime factors of 7438 are 2,3719. Prime factorization of 7438 in exponential form is:

7438 = 21×37191

Now multiplying the highest exponent prime factors to calculate the LCM of 7434 and 7438.

LCM(7434,7438) = 21×32×71×591×37191
LCM(7434,7438) = 27647046

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

Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1, 2, 3719, 7438

Least Common Multiple of 7434 and 7438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7434 and 7438, than apply into the LCM equation.

GCF(7434,7438) = 2
LCM(7434,7438) = ( 7434 × 7438) / 2
LCM(7434,7438) = 55294092 / 2
LCM(7434,7438) = 27647046

Properties of LCM 7434 and 7438

(i) The LCM of 7438 and 7434 is associative

LCM of 7434 and 7438 = LCM of 7438 and 7434

Related Least Common Multiples of 7434

Related Least Common Multiples of 7438

Frequently Asked Questions on LCM of 7434 and 7438

1. What is the LCM of 7434 and 7438?

Answer: LCM of 7434 and 7438 is 27647046.

2. 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.

3. What are the Factors of 7438?

Answer: Factors of 7438 are 1, 2, 3719, 7438. There are 4 integers that are factors of 7438. The greatest factor of 7438 is 7438.

4. How to Find the LCM of 7434 and 7438?

Answer:

Least Common Multiple of 7434 and 7438 = 27647046

Step 1: Find the prime factorization of 7434

7434 = 2 x 3 x 3 x 7 x 59

Step 2: Find the prime factorization of 7438

7438 = 2 x 3719

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

LCM = 27647046 = 2 x 3 x 3 x 7 x 59 x 3719

Step 4: Therefore, the least common multiple of 7434 and 7438 is 27647046.