Least Common Multiple of 7436 and 7442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7436 and 7442 the smallest integer that is 27669356 that is divisible by both numbers.

Least Common Multiple (LCM) of 7436 and 7442 is 27669356.

LCM(7436,7442) = 27669356

LCM of 7436 and 7442

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

LCM of:
and

Least Common Multiple of 7436 and 7442

LCM of 7436 and 7442 is 27669356

Least common multiple can be found by multiplying the highest exponent prime factors of 7436 and 7442. First we will calculate the prime factors of 7436 and 7442.

Prime Factorization of 7436


2 7436
2 3718
11 1859
13 169
13 13
1

Prime factors of 7436 are 2, 11,13. Prime factorization of 7436 in exponential form is:

7436 = 22×111×132

Prime Factorization of 7442


2 7442
61 3721
61 61
1

Prime factors of 7442 are 2,61. Prime factorization of 7442 in exponential form is:

7442 = 21×612

Now multiplying the highest exponent prime factors to calculate the LCM of 7436 and 7442.

LCM(7436,7442) = 22×111×132×612
LCM(7436,7442) = 27669356

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436

Factors of 7442

List of positive integer factors of 7442 that divides 7442 without a remainder.

1, 2, 61, 122, 3721, 7442

Least Common Multiple of 7436 and 7442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7436 and 7442, than apply into the LCM equation.

GCF(7436,7442) = 2
LCM(7436,7442) = ( 7436 × 7442) / 2
LCM(7436,7442) = 55338712 / 2
LCM(7436,7442) = 27669356

Properties of LCM 7436 and 7442

(i) The LCM of 7442 and 7436 is associative

LCM of 7436 and 7442 = LCM of 7442 and 7436

Related Least Common Multiples of 7436

Related Least Common Multiples of 7442

Frequently Asked Questions on LCM of 7436 and 7442

1. What is the LCM of 7436 and 7442?

Answer: LCM of 7436 and 7442 is 27669356.

2. What are the Factors of 7436?

Answer: Factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436. There are 18 integers that are factors of 7436. The greatest factor of 7436 is 7436.

3. What are the Factors of 7442?

Answer: Factors of 7442 are 1, 2, 61, 122, 3721, 7442. There are 6 integers that are factors of 7442. The greatest factor of 7442 is 7442.

4. How to Find the LCM of 7436 and 7442?

Answer:

Least Common Multiple of 7436 and 7442 = 27669356

Step 1: Find the prime factorization of 7436

7436 = 2 x 2 x 11 x 13 x 13

Step 2: Find the prime factorization of 7442

7442 = 2 x 61 x 61

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

LCM = 27669356 = 2 x 2 x 11 x 13 x 13 x 61 x 61

Step 4: Therefore, the least common multiple of 7436 and 7442 is 27669356.