Least Common Multiple of 7307 and 7311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7307 and 7311 the smallest integer that is 53421477 that is divisible by both numbers.

Least Common Multiple (LCM) of 7307 and 7311 is 53421477.

LCM(7307,7311) = 53421477

LCM of 7307 and 7311

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

LCM of:
and

Least Common Multiple of 7307 and 7311

LCM of 7307 and 7311 is 53421477

Least common multiple can be found by multiplying the highest exponent prime factors of 7307 and 7311. First we will calculate the prime factors of 7307 and 7311.

Prime Factorization of 7307


7307 7307
1

Prime factors of 7307 are 7307. Prime factorization of 7307 in exponential form is:

7307 = 73071

Prime Factorization of 7311


3 7311
2437 2437
1

Prime factors of 7311 are 3,2437. Prime factorization of 7311 in exponential form is:

7311 = 31×24371

Now multiplying the highest exponent prime factors to calculate the LCM of 7307 and 7311.

LCM(7307,7311) = 31×24371×73071
LCM(7307,7311) = 53421477

Factors of 7307

List of positive integer factors of 7307 that divides 7307 without a remainder.

1, 7307

Factors of 7311

List of positive integer factors of 7311 that divides 7311 without a remainder.

1, 3, 2437, 7311

Least Common Multiple of 7307 and 7311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7307 and 7311, than apply into the LCM equation.

GCF(7307,7311) = 1
LCM(7307,7311) = ( 7307 × 7311) / 1
LCM(7307,7311) = 53421477 / 1
LCM(7307,7311) = 53421477

Properties of LCM 7307 and 7311

(i) The LCM of 7311 and 7307 is associative

LCM of 7307 and 7311 = LCM of 7311 and 7307

Related Least Common Multiples of 7307

Related Least Common Multiples of 7311

Frequently Asked Questions on LCM of 7307 and 7311

1. What is the LCM of 7307 and 7311?

Answer: LCM of 7307 and 7311 is 53421477.

2. What are the Factors of 7307?

Answer: Factors of 7307 are 1, 7307. There are 2 integers that are factors of 7307. The greatest factor of 7307 is 7307.

3. What are the Factors of 7311?

Answer: Factors of 7311 are 1, 3, 2437, 7311. There are 4 integers that are factors of 7311. The greatest factor of 7311 is 7311.

4. How to Find the LCM of 7307 and 7311?

Answer:

Least Common Multiple of 7307 and 7311 = 53421477

Step 1: Find the prime factorization of 7307

7307 = 7307

Step 2: Find the prime factorization of 7311

7311 = 3 x 2437

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

LCM = 53421477 = 3 x 2437 x 7307

Step 4: Therefore, the least common multiple of 7307 and 7311 is 53421477.