Least Common Multiple of 2360 and 2368

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 2368 the smallest integer that is 698560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2360 and 2368 is 698560.

LCM(2360,2368) = 698560

LCM of 2360 and 2368

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

LCM of:
and

Least Common Multiple of 2360 and 2368

LCM of 2360 and 2368 is 698560

Least common multiple can be found by multiplying the highest exponent prime factors of 2360 and 2368. First we will calculate the prime factors of 2360 and 2368.

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 2368


2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 2368 are 2,37. Prime factorization of 2368 in exponential form is:

2368 = 26×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2360 and 2368.

LCM(2360,2368) = 26×51×371×591
LCM(2360,2368) = 698560

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 2368

List of positive integer factors of 2368 that divides 2368 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368

Least Common Multiple of 2360 and 2368 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 2368, than apply into the LCM equation.

GCF(2360,2368) = 8
LCM(2360,2368) = ( 2360 × 2368) / 8
LCM(2360,2368) = 5588480 / 8
LCM(2360,2368) = 698560

Properties of LCM 2360 and 2368

(i) The LCM of 2368 and 2360 is associative

LCM of 2360 and 2368 = LCM of 2368 and 2360

Related Least Common Multiples of 2360

Related Least Common Multiples of 2368

Frequently Asked Questions on LCM of 2360 and 2368

1. What is the LCM of 2360 and 2368?

Answer: LCM of 2360 and 2368 is 698560.

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 2368?

Answer: Factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368. There are 14 integers that are factors of 2368. The greatest factor of 2368 is 2368.

4. How to Find the LCM of 2360 and 2368?

Answer:

Least Common Multiple of 2360 and 2368 = 698560

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 2368

2368 = 2 x 2 x 2 x 2 x 2 x 2 x 37

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

LCM = 698560 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 37 x 59

Step 4: Therefore, the least common multiple of 2360 and 2368 is 698560.