Least Common Multiple of 2360 and 2366

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 2366 the smallest integer that is 2791880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2360 and 2366 is 2791880.

LCM(2360,2366) = 2791880

LCM of 2360 and 2366

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

LCM of:
and

Least Common Multiple of 2360 and 2366

LCM of 2360 and 2366 is 2791880

Least common multiple can be found by multiplying the highest exponent prime factors of 2360 and 2366. First we will calculate the prime factors of 2360 and 2366.

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 2366


2 2366
7 1183
13 169
13 13
1

Prime factors of 2366 are 2, 7,13. Prime factorization of 2366 in exponential form is:

2366 = 21×71×132

Now multiplying the highest exponent prime factors to calculate the LCM of 2360 and 2366.

LCM(2360,2366) = 23×51×71×132×591
LCM(2360,2366) = 2791880

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 2366

List of positive integer factors of 2366 that divides 2366 without a remainder.

1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366

Least Common Multiple of 2360 and 2366 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 2366, than apply into the LCM equation.

GCF(2360,2366) = 2
LCM(2360,2366) = ( 2360 × 2366) / 2
LCM(2360,2366) = 5583760 / 2
LCM(2360,2366) = 2791880

Properties of LCM 2360 and 2366

(i) The LCM of 2366 and 2360 is associative

LCM of 2360 and 2366 = LCM of 2366 and 2360

Related Least Common Multiples of 2360

Related Least Common Multiples of 2366

Frequently Asked Questions on LCM of 2360 and 2366

1. What is the LCM of 2360 and 2366?

Answer: LCM of 2360 and 2366 is 2791880.

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 2366?

Answer: Factors of 2366 are 1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366. There are 12 integers that are factors of 2366. The greatest factor of 2366 is 2366.

4. How to Find the LCM of 2360 and 2366?

Answer:

Least Common Multiple of 2360 and 2366 = 2791880

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 2366

2366 = 2 x 7 x 13 x 13

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

LCM = 2791880 = 2 x 2 x 2 x 5 x 7 x 13 x 13 x 59

Step 4: Therefore, the least common multiple of 2360 and 2366 is 2791880.