Least Common Multiple of 2301 and 2302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2301 and 2302 the smallest integer that is 5296902 that is divisible by both numbers.

Least Common Multiple (LCM) of 2301 and 2302 is 5296902.

LCM(2301,2302) = 5296902

LCM of 2301 and 2302

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

LCM of:
and

Least Common Multiple of 2301 and 2302

LCM of 2301 and 2302 is 5296902

Least common multiple can be found by multiplying the highest exponent prime factors of 2301 and 2302. First we will calculate the prime factors of 2301 and 2302.

Prime Factorization of 2301


3 2301
13 767
59 59
1

Prime factors of 2301 are 3, 13,59. Prime factorization of 2301 in exponential form is:

2301 = 31×131×591

Prime Factorization of 2302


2 2302
1151 1151
1

Prime factors of 2302 are 2,1151. Prime factorization of 2302 in exponential form is:

2302 = 21×11511

Now multiplying the highest exponent prime factors to calculate the LCM of 2301 and 2302.

LCM(2301,2302) = 21×31×131×591×11511
LCM(2301,2302) = 5296902

Factors of 2301

List of positive integer factors of 2301 that divides 2301 without a remainder.

1, 3, 13, 39, 59, 177, 767, 2301

Factors of 2302

List of positive integer factors of 2302 that divides 2302 without a remainder.

1, 2, 1151, 2302

Least Common Multiple of 2301 and 2302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2301 and 2302, than apply into the LCM equation.

GCF(2301,2302) = 1
LCM(2301,2302) = ( 2301 × 2302) / 1
LCM(2301,2302) = 5296902 / 1
LCM(2301,2302) = 5296902

Properties of LCM 2301 and 2302

(i) The LCM of 2302 and 2301 is associative

LCM of 2301 and 2302 = LCM of 2302 and 2301

Related Least Common Multiples of 2301

Related Least Common Multiples of 2302

Frequently Asked Questions on LCM of 2301 and 2302

1. What is the LCM of 2301 and 2302?

Answer: LCM of 2301 and 2302 is 5296902.

2. What are the Factors of 2301?

Answer: Factors of 2301 are 1, 3, 13, 39, 59, 177, 767, 2301. There are 8 integers that are factors of 2301. The greatest factor of 2301 is 2301.

3. What are the Factors of 2302?

Answer: Factors of 2302 are 1, 2, 1151, 2302. There are 4 integers that are factors of 2302. The greatest factor of 2302 is 2302.

4. How to Find the LCM of 2301 and 2302?

Answer:

Least Common Multiple of 2301 and 2302 = 5296902

Step 1: Find the prime factorization of 2301

2301 = 3 x 13 x 59

Step 2: Find the prime factorization of 2302

2302 = 2 x 1151

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

LCM = 5296902 = 2 x 3 x 13 x 59 x 1151

Step 4: Therefore, the least common multiple of 2301 and 2302 is 5296902.