Least Common Multiple of 2360 and 2364

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 2364 the smallest integer that is 1394760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2360 and 2364 is 1394760.

LCM(2360,2364) = 1394760

LCM of 2360 and 2364

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

LCM of:
and

Least Common Multiple of 2360 and 2364

LCM of 2360 and 2364 is 1394760

Least common multiple can be found by multiplying the highest exponent prime factors of 2360 and 2364. First we will calculate the prime factors of 2360 and 2364.

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 2364


2 2364
2 1182
3 591
197 197
1

Prime factors of 2364 are 2, 3,197. Prime factorization of 2364 in exponential form is:

2364 = 22×31×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 2360 and 2364.

LCM(2360,2364) = 23×31×51×591×1971
LCM(2360,2364) = 1394760

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 2364

List of positive integer factors of 2364 that divides 2364 without a remainder.

1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364

Least Common Multiple of 2360 and 2364 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 2364, than apply into the LCM equation.

GCF(2360,2364) = 4
LCM(2360,2364) = ( 2360 × 2364) / 4
LCM(2360,2364) = 5579040 / 4
LCM(2360,2364) = 1394760

Properties of LCM 2360 and 2364

(i) The LCM of 2364 and 2360 is associative

LCM of 2360 and 2364 = LCM of 2364 and 2360

Related Least Common Multiples of 2360

Related Least Common Multiples of 2364

Frequently Asked Questions on LCM of 2360 and 2364

1. What is the LCM of 2360 and 2364?

Answer: LCM of 2360 and 2364 is 1394760.

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 2364?

Answer: Factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364. There are 12 integers that are factors of 2364. The greatest factor of 2364 is 2364.

4. How to Find the LCM of 2360 and 2364?

Answer:

Least Common Multiple of 2360 and 2364 = 1394760

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 2364

2364 = 2 x 2 x 3 x 197

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

LCM = 1394760 = 2 x 2 x 2 x 3 x 5 x 59 x 197

Step 4: Therefore, the least common multiple of 2360 and 2364 is 1394760.