Least Common Multiple of 2303 and 2305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2303 and 2305 the smallest integer that is 5308415 that is divisible by both numbers.

Least Common Multiple (LCM) of 2303 and 2305 is 5308415.

LCM(2303,2305) = 5308415

LCM of 2303 and 2305

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

LCM of:
and

Least Common Multiple of 2303 and 2305

LCM of 2303 and 2305 is 5308415

Least common multiple can be found by multiplying the highest exponent prime factors of 2303 and 2305. First we will calculate the prime factors of 2303 and 2305.

Prime Factorization of 2303


7 2303
7 329
47 47
1

Prime factors of 2303 are 7,47. Prime factorization of 2303 in exponential form is:

2303 = 72×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2303 and 2305.

LCM(2303,2305) = 51×72×471×4611
LCM(2303,2305) = 5308415

Factors of 2303

List of positive integer factors of 2303 that divides 2303 without a remainder.

1, 7, 47, 49, 329, 2303

Factors of 2305

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

1, 5, 461, 2305

Least Common Multiple of 2303 and 2305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2303 and 2305, than apply into the LCM equation.

GCF(2303,2305) = 1
LCM(2303,2305) = ( 2303 × 2305) / 1
LCM(2303,2305) = 5308415 / 1
LCM(2303,2305) = 5308415

Properties of LCM 2303 and 2305

(i) The LCM of 2305 and 2303 is associative

LCM of 2303 and 2305 = LCM of 2305 and 2303

Related Least Common Multiples of 2303

Related Least Common Multiples of 2305

Frequently Asked Questions on LCM of 2303 and 2305

1. What is the LCM of 2303 and 2305?

Answer: LCM of 2303 and 2305 is 5308415.

2. What are the Factors of 2303?

Answer: Factors of 2303 are 1, 7, 47, 49, 329, 2303. There are 6 integers that are factors of 2303. The greatest factor of 2303 is 2303.

3. 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.

4. How to Find the LCM of 2303 and 2305?

Answer:

Least Common Multiple of 2303 and 2305 = 5308415

Step 1: Find the prime factorization of 2303

2303 = 7 x 7 x 47

Step 2: Find the prime factorization of 2305

2305 = 5 x 461

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

LCM = 5308415 = 5 x 7 x 7 x 47 x 461

Step 4: Therefore, the least common multiple of 2303 and 2305 is 5308415.