Least Common Multiple of 2361 and 2369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2361 and 2369 the smallest integer that is 5593209 that is divisible by both numbers.

Least Common Multiple (LCM) of 2361 and 2369 is 5593209.

LCM(2361,2369) = 5593209

LCM of 2361 and 2369

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

LCM of:
and

Least Common Multiple of 2361 and 2369

LCM of 2361 and 2369 is 5593209

Least common multiple can be found by multiplying the highest exponent prime factors of 2361 and 2369. First we will calculate the prime factors of 2361 and 2369.

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

Prime Factorization of 2369


23 2369
103 103
1

Prime factors of 2369 are 23,103. Prime factorization of 2369 in exponential form is:

2369 = 231×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2361 and 2369.

LCM(2361,2369) = 31×231×1031×7871
LCM(2361,2369) = 5593209

Factors of 2361

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

1, 3, 787, 2361

Factors of 2369

List of positive integer factors of 2369 that divides 2369 without a remainder.

1, 23, 103, 2369

Least Common Multiple of 2361 and 2369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2361 and 2369, than apply into the LCM equation.

GCF(2361,2369) = 1
LCM(2361,2369) = ( 2361 × 2369) / 1
LCM(2361,2369) = 5593209 / 1
LCM(2361,2369) = 5593209

Properties of LCM 2361 and 2369

(i) The LCM of 2369 and 2361 is associative

LCM of 2361 and 2369 = LCM of 2369 and 2361

Related Least Common Multiples of 2361

Related Least Common Multiples of 2369

Frequently Asked Questions on LCM of 2361 and 2369

1. What is the LCM of 2361 and 2369?

Answer: LCM of 2361 and 2369 is 5593209.

2. 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.

3. What are the Factors of 2369?

Answer: Factors of 2369 are 1, 23, 103, 2369. There are 4 integers that are factors of 2369. The greatest factor of 2369 is 2369.

4. How to Find the LCM of 2361 and 2369?

Answer:

Least Common Multiple of 2361 and 2369 = 5593209

Step 1: Find the prime factorization of 2361

2361 = 3 x 787

Step 2: Find the prime factorization of 2369

2369 = 23 x 103

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

LCM = 5593209 = 3 x 23 x 103 x 787

Step 4: Therefore, the least common multiple of 2361 and 2369 is 5593209.