Least Common Multiple of 2305 and 2313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2305 and 2313 the smallest integer that is 5331465 that is divisible by both numbers.

Least Common Multiple (LCM) of 2305 and 2313 is 5331465.

LCM(2305,2313) = 5331465

LCM of 2305 and 2313

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

LCM of:
and

Least Common Multiple of 2305 and 2313

LCM of 2305 and 2313 is 5331465

Least common multiple can be found by multiplying the highest exponent prime factors of 2305 and 2313. First we will calculate the prime factors of 2305 and 2313.

Prime Factorization of 2305


5 2305
461 461
1

Prime factors of 2305 are 5,461. Prime factorization of 2305 in exponential form is:

2305 = 51×4611

Prime Factorization of 2313


3 2313
3 771
257 257
1

Prime factors of 2313 are 3,257. Prime factorization of 2313 in exponential form is:

2313 = 32×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 2305 and 2313.

LCM(2305,2313) = 32×51×2571×4611
LCM(2305,2313) = 5331465

Factors of 2305

List of positive integer factors of 2305 that divides 2305 without a remainder.

1, 5, 461, 2305

Factors of 2313

List of positive integer factors of 2313 that divides 2313 without a remainder.

1, 3, 9, 257, 771, 2313

Least Common Multiple of 2305 and 2313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2305 and 2313, than apply into the LCM equation.

GCF(2305,2313) = 1
LCM(2305,2313) = ( 2305 × 2313) / 1
LCM(2305,2313) = 5331465 / 1
LCM(2305,2313) = 5331465

Properties of LCM 2305 and 2313

(i) The LCM of 2313 and 2305 is associative

LCM of 2305 and 2313 = LCM of 2313 and 2305

Related Least Common Multiples of 2305

Related Least Common Multiples of 2313

Frequently Asked Questions on LCM of 2305 and 2313

1. What is the LCM of 2305 and 2313?

Answer: LCM of 2305 and 2313 is 5331465.

2. What are the Factors of 2305?

Answer: Factors of 2305 are 1, 5, 461, 2305. There are 4 integers that are factors of 2305. The greatest factor of 2305 is 2305.

3. What are the Factors of 2313?

Answer: Factors of 2313 are 1, 3, 9, 257, 771, 2313. There are 6 integers that are factors of 2313. The greatest factor of 2313 is 2313.

4. How to Find the LCM of 2305 and 2313?

Answer:

Least Common Multiple of 2305 and 2313 = 5331465

Step 1: Find the prime factorization of 2305

2305 = 5 x 461

Step 2: Find the prime factorization of 2313

2313 = 3 x 3 x 257

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

LCM = 5331465 = 3 x 3 x 5 x 257 x 461

Step 4: Therefore, the least common multiple of 2305 and 2313 is 5331465.