Least Common Multiple of 7313 and 7321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7313 and 7321 the smallest integer that is 53538473 that is divisible by both numbers.

Least Common Multiple (LCM) of 7313 and 7321 is 53538473.

LCM(7313,7321) = 53538473

LCM of 7313 and 7321

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

LCM of:
and

Least Common Multiple of 7313 and 7321

LCM of 7313 and 7321 is 53538473

Least common multiple can be found by multiplying the highest exponent prime factors of 7313 and 7321. First we will calculate the prime factors of 7313 and 7321.

Prime Factorization of 7313


71 7313
103 103
1

Prime factors of 7313 are 71,103. Prime factorization of 7313 in exponential form is:

7313 = 711×1031

Prime Factorization of 7321


7321 7321
1

Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:

7321 = 73211

Now multiplying the highest exponent prime factors to calculate the LCM of 7313 and 7321.

LCM(7313,7321) = 711×1031×73211
LCM(7313,7321) = 53538473

Factors of 7313

List of positive integer factors of 7313 that divides 7313 without a remainder.

1, 71, 103, 7313

Factors of 7321

List of positive integer factors of 7321 that divides 7321 without a remainder.

1, 7321

Least Common Multiple of 7313 and 7321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7313 and 7321, than apply into the LCM equation.

GCF(7313,7321) = 1
LCM(7313,7321) = ( 7313 × 7321) / 1
LCM(7313,7321) = 53538473 / 1
LCM(7313,7321) = 53538473

Properties of LCM 7313 and 7321

(i) The LCM of 7321 and 7313 is associative

LCM of 7313 and 7321 = LCM of 7321 and 7313

Related Least Common Multiples of 7313

Related Least Common Multiples of 7321

Frequently Asked Questions on LCM of 7313 and 7321

1. What is the LCM of 7313 and 7321?

Answer: LCM of 7313 and 7321 is 53538473.

2. What are the Factors of 7313?

Answer: Factors of 7313 are 1, 71, 103, 7313. There are 4 integers that are factors of 7313. The greatest factor of 7313 is 7313.

3. What are the Factors of 7321?

Answer: Factors of 7321 are 1, 7321. There are 2 integers that are factors of 7321. The greatest factor of 7321 is 7321.

4. How to Find the LCM of 7313 and 7321?

Answer:

Least Common Multiple of 7313 and 7321 = 53538473

Step 1: Find the prime factorization of 7313

7313 = 71 x 103

Step 2: Find the prime factorization of 7321

7321 = 7321

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

LCM = 53538473 = 71 x 103 x 7321

Step 4: Therefore, the least common multiple of 7313 and 7321 is 53538473.