Least Common Multiple of 7436 and 7441

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 7441 the smallest integer that is 55331276 that is divisible by both numbers.

Least Common Multiple (LCM) of 7436 and 7441 is 55331276.

LCM(7436,7441) = 55331276

LCM of 7436 and 7441

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

LCM of:
and

Least Common Multiple of 7436 and 7441

LCM of 7436 and 7441 is 55331276

Least common multiple can be found by multiplying the highest exponent prime factors of 7436 and 7441. First we will calculate the prime factors of 7436 and 7441.

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 7441


7 7441
1063 1063
1

Prime factors of 7441 are 7,1063. Prime factorization of 7441 in exponential form is:

7441 = 71×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 7436 and 7441.

LCM(7436,7441) = 22×71×111×132×10631
LCM(7436,7441) = 55331276

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 7441

List of positive integer factors of 7441 that divides 7441 without a remainder.

1, 7, 1063, 7441

Least Common Multiple of 7436 and 7441 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 7441, than apply into the LCM equation.

GCF(7436,7441) = 1
LCM(7436,7441) = ( 7436 × 7441) / 1
LCM(7436,7441) = 55331276 / 1
LCM(7436,7441) = 55331276

Properties of LCM 7436 and 7441

(i) The LCM of 7441 and 7436 is associative

LCM of 7436 and 7441 = LCM of 7441 and 7436

Related Least Common Multiples of 7436

Related Least Common Multiples of 7441

Frequently Asked Questions on LCM of 7436 and 7441

1. What is the LCM of 7436 and 7441?

Answer: LCM of 7436 and 7441 is 55331276.

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 7441?

Answer: Factors of 7441 are 1, 7, 1063, 7441. There are 4 integers that are factors of 7441. The greatest factor of 7441 is 7441.

4. How to Find the LCM of 7436 and 7441?

Answer:

Least Common Multiple of 7436 and 7441 = 55331276

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 7441

7441 = 7 x 1063

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

LCM = 55331276 = 2 x 2 x 7 x 11 x 13 x 13 x 1063

Step 4: Therefore, the least common multiple of 7436 and 7441 is 55331276.