Least Common Multiple of 2360 and 2367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2360 and 2367 the smallest integer that is 5586120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2360 and 2367 is 5586120.

LCM(2360,2367) = 5586120

LCM of 2360 and 2367

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

LCM of:
and

Least Common Multiple of 2360 and 2367

LCM of 2360 and 2367 is 5586120

Least common multiple can be found by multiplying the highest exponent prime factors of 2360 and 2367. First we will calculate the prime factors of 2360 and 2367.

Prime Factorization of 2360


2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 2360 are 2, 5,59. Prime factorization of 2360 in exponential form is:

2360 = 23×51×591

Prime Factorization of 2367


3 2367
3 789
263 263
1

Prime factors of 2367 are 3,263. Prime factorization of 2367 in exponential form is:

2367 = 32×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 2360 and 2367.

LCM(2360,2367) = 23×32×51×591×2631
LCM(2360,2367) = 5586120

Factors of 2360

List of positive integer factors of 2360 that divides 2360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1, 3, 9, 263, 789, 2367

Least Common Multiple of 2360 and 2367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2360 and 2367, than apply into the LCM equation.

GCF(2360,2367) = 1
LCM(2360,2367) = ( 2360 × 2367) / 1
LCM(2360,2367) = 5586120 / 1
LCM(2360,2367) = 5586120

Properties of LCM 2360 and 2367

(i) The LCM of 2367 and 2360 is associative

LCM of 2360 and 2367 = LCM of 2367 and 2360

Related Least Common Multiples of 2360

Related Least Common Multiples of 2367

Frequently Asked Questions on LCM of 2360 and 2367

1. What is the LCM of 2360 and 2367?

Answer: LCM of 2360 and 2367 is 5586120.

2. What are the Factors of 2360?

Answer: Factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360. There are 16 integers that are factors of 2360. The greatest factor of 2360 is 2360.

3. What are the Factors of 2367?

Answer: Factors of 2367 are 1, 3, 9, 263, 789, 2367. There are 6 integers that are factors of 2367. The greatest factor of 2367 is 2367.

4. How to Find the LCM of 2360 and 2367?

Answer:

Least Common Multiple of 2360 and 2367 = 5586120

Step 1: Find the prime factorization of 2360

2360 = 2 x 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 2367

2367 = 3 x 3 x 263

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

LCM = 5586120 = 2 x 2 x 2 x 3 x 3 x 5 x 59 x 263

Step 4: Therefore, the least common multiple of 2360 and 2367 is 5586120.