Least Common Multiple of 2306 and 2310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2306 and 2310 the smallest integer that is 2663430 that is divisible by both numbers.

Least Common Multiple (LCM) of 2306 and 2310 is 2663430.

LCM(2306,2310) = 2663430

LCM of 2306 and 2310

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

LCM of:
and

Least Common Multiple of 2306 and 2310

LCM of 2306 and 2310 is 2663430

Least common multiple can be found by multiplying the highest exponent prime factors of 2306 and 2310. First we will calculate the prime factors of 2306 and 2310.

Prime Factorization of 2306


2 2306
1153 1153
1

Prime factors of 2306 are 2,1153. Prime factorization of 2306 in exponential form is:

2306 = 21×11531

Prime Factorization of 2310


2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 2310 are 2, 3, 5, 7,11. Prime factorization of 2310 in exponential form is:

2310 = 21×31×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2306 and 2310.

LCM(2306,2310) = 21×31×51×71×111×11531
LCM(2306,2310) = 2663430

Factors of 2306

List of positive integer factors of 2306 that divides 2306 without a remainder.

1, 2, 1153, 2306

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Least Common Multiple of 2306 and 2310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2306 and 2310, than apply into the LCM equation.

GCF(2306,2310) = 2
LCM(2306,2310) = ( 2306 × 2310) / 2
LCM(2306,2310) = 5326860 / 2
LCM(2306,2310) = 2663430

Properties of LCM 2306 and 2310

(i) The LCM of 2310 and 2306 is associative

LCM of 2306 and 2310 = LCM of 2310 and 2306

Related Least Common Multiples of 2306

Related Least Common Multiples of 2310

Frequently Asked Questions on LCM of 2306 and 2310

1. What is the LCM of 2306 and 2310?

Answer: LCM of 2306 and 2310 is 2663430.

2. What are the Factors of 2306?

Answer: Factors of 2306 are 1, 2, 1153, 2306. There are 4 integers that are factors of 2306. The greatest factor of 2306 is 2306.

3. What are the Factors of 2310?

Answer: Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310. There are 32 integers that are factors of 2310. The greatest factor of 2310 is 2310.

4. How to Find the LCM of 2306 and 2310?

Answer:

Least Common Multiple of 2306 and 2310 = 2663430

Step 1: Find the prime factorization of 2306

2306 = 2 x 1153

Step 2: Find the prime factorization of 2310

2310 = 2 x 3 x 5 x 7 x 11

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

LCM = 2663430 = 2 x 3 x 5 x 7 x 11 x 1153

Step 4: Therefore, the least common multiple of 2306 and 2310 is 2663430.