Least Common Multiple of 2353 and 2361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2353 and 2361 the smallest integer that is 5555433 that is divisible by both numbers.

Least Common Multiple (LCM) of 2353 and 2361 is 5555433.

LCM(2353,2361) = 5555433

LCM of 2353 and 2361

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

LCM of:
and

Least Common Multiple of 2353 and 2361

LCM of 2353 and 2361 is 5555433

Least common multiple can be found by multiplying the highest exponent prime factors of 2353 and 2361. First we will calculate the prime factors of 2353 and 2361.

Prime Factorization of 2353


13 2353
181 181
1

Prime factors of 2353 are 13,181. Prime factorization of 2353 in exponential form is:

2353 = 131×1811

Prime Factorization of 2361


3 2361
787 787
1

Prime factors of 2361 are 3,787. Prime factorization of 2361 in exponential form is:

2361 = 31×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 2353 and 2361.

LCM(2353,2361) = 31×131×1811×7871
LCM(2353,2361) = 5555433

Factors of 2353

List of positive integer factors of 2353 that divides 2353 without a remainder.

1, 13, 181, 2353

Factors of 2361

List of positive integer factors of 2361 that divides 2361 without a remainder.

1, 3, 787, 2361

Least Common Multiple of 2353 and 2361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2353 and 2361, than apply into the LCM equation.

GCF(2353,2361) = 1
LCM(2353,2361) = ( 2353 × 2361) / 1
LCM(2353,2361) = 5555433 / 1
LCM(2353,2361) = 5555433

Properties of LCM 2353 and 2361

(i) The LCM of 2361 and 2353 is associative

LCM of 2353 and 2361 = LCM of 2361 and 2353

Related Least Common Multiples of 2353

Related Least Common Multiples of 2361

Frequently Asked Questions on LCM of 2353 and 2361

1. What is the LCM of 2353 and 2361?

Answer: LCM of 2353 and 2361 is 5555433.

2. What are the Factors of 2353?

Answer: Factors of 2353 are 1, 13, 181, 2353. There are 4 integers that are factors of 2353. The greatest factor of 2353 is 2353.

3. What are the Factors of 2361?

Answer: Factors of 2361 are 1, 3, 787, 2361. There are 4 integers that are factors of 2361. The greatest factor of 2361 is 2361.

4. How to Find the LCM of 2353 and 2361?

Answer:

Least Common Multiple of 2353 and 2361 = 5555433

Step 1: Find the prime factorization of 2353

2353 = 13 x 181

Step 2: Find the prime factorization of 2361

2361 = 3 x 787

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

LCM = 5555433 = 3 x 13 x 181 x 787

Step 4: Therefore, the least common multiple of 2353 and 2361 is 5555433.