Least Common Multiple of 2355 and 2360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2355 and 2360 the smallest integer that is 1111560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2355 and 2360 is 1111560.

LCM(2355,2360) = 1111560

LCM of 2355 and 2360

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

LCM of:
and

Least Common Multiple of 2355 and 2360

LCM of 2355 and 2360 is 1111560

Least common multiple can be found by multiplying the highest exponent prime factors of 2355 and 2360. First we will calculate the prime factors of 2355 and 2360.

Prime Factorization of 2355


3 2355
5 785
157 157
1

Prime factors of 2355 are 3, 5,157. Prime factorization of 2355 in exponential form is:

2355 = 31×51×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2355 and 2360.

LCM(2355,2360) = 23×31×51×591×1571
LCM(2355,2360) = 1111560

Factors of 2355

List of positive integer factors of 2355 that divides 2355 without a remainder.

1, 3, 5, 15, 157, 471, 785, 2355

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

Least Common Multiple of 2355 and 2360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2355 and 2360, than apply into the LCM equation.

GCF(2355,2360) = 5
LCM(2355,2360) = ( 2355 × 2360) / 5
LCM(2355,2360) = 5557800 / 5
LCM(2355,2360) = 1111560

Properties of LCM 2355 and 2360

(i) The LCM of 2360 and 2355 is associative

LCM of 2355 and 2360 = LCM of 2360 and 2355

Related Least Common Multiples of 2355

Related Least Common Multiples of 2360

Frequently Asked Questions on LCM of 2355 and 2360

1. What is the LCM of 2355 and 2360?

Answer: LCM of 2355 and 2360 is 1111560.

2. What are the Factors of 2355?

Answer: Factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355. There are 8 integers that are factors of 2355. The greatest factor of 2355 is 2355.

3. 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.

4. How to Find the LCM of 2355 and 2360?

Answer:

Least Common Multiple of 2355 and 2360 = 1111560

Step 1: Find the prime factorization of 2355

2355 = 3 x 5 x 157

Step 2: Find the prime factorization of 2360

2360 = 2 x 2 x 2 x 5 x 59

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

LCM = 1111560 = 2 x 2 x 2 x 3 x 5 x 59 x 157

Step 4: Therefore, the least common multiple of 2355 and 2360 is 1111560.