Least Common Multiple of 7305 and 7313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7305 and 7313 the smallest integer that is 53421465 that is divisible by both numbers.

Least Common Multiple (LCM) of 7305 and 7313 is 53421465.

LCM(7305,7313) = 53421465

LCM of 7305 and 7313

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

LCM of:
and

Least Common Multiple of 7305 and 7313

LCM of 7305 and 7313 is 53421465

Least common multiple can be found by multiplying the highest exponent prime factors of 7305 and 7313. First we will calculate the prime factors of 7305 and 7313.

Prime Factorization of 7305


3 7305
5 2435
487 487
1

Prime factors of 7305 are 3, 5,487. Prime factorization of 7305 in exponential form is:

7305 = 31×51×4871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7305 and 7313.

LCM(7305,7313) = 31×51×711×1031×4871
LCM(7305,7313) = 53421465

Factors of 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1, 3, 5, 15, 487, 1461, 2435, 7305

Factors of 7313

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

1, 71, 103, 7313

Least Common Multiple of 7305 and 7313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7305 and 7313, than apply into the LCM equation.

GCF(7305,7313) = 1
LCM(7305,7313) = ( 7305 × 7313) / 1
LCM(7305,7313) = 53421465 / 1
LCM(7305,7313) = 53421465

Properties of LCM 7305 and 7313

(i) The LCM of 7313 and 7305 is associative

LCM of 7305 and 7313 = LCM of 7313 and 7305

Related Least Common Multiples of 7305

Related Least Common Multiples of 7313

Frequently Asked Questions on LCM of 7305 and 7313

1. What is the LCM of 7305 and 7313?

Answer: LCM of 7305 and 7313 is 53421465.

2. What are the Factors of 7305?

Answer: Factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305. There are 8 integers that are factors of 7305. The greatest factor of 7305 is 7305.

3. 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.

4. How to Find the LCM of 7305 and 7313?

Answer:

Least Common Multiple of 7305 and 7313 = 53421465

Step 1: Find the prime factorization of 7305

7305 = 3 x 5 x 487

Step 2: Find the prime factorization of 7313

7313 = 71 x 103

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

LCM = 53421465 = 3 x 5 x 71 x 103 x 487

Step 4: Therefore, the least common multiple of 7305 and 7313 is 53421465.