Least Common Multiple of 2355 and 2358

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 2358 the smallest integer that is 1851030 that is divisible by both numbers.

Least Common Multiple (LCM) of 2355 and 2358 is 1851030.

LCM(2355,2358) = 1851030

LCM of 2355 and 2358

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

LCM of:
and

Least Common Multiple of 2355 and 2358

LCM of 2355 and 2358 is 1851030

Least common multiple can be found by multiplying the highest exponent prime factors of 2355 and 2358. First we will calculate the prime factors of 2355 and 2358.

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 2358


2 2358
3 1179
3 393
131 131
1

Prime factors of 2358 are 2, 3,131. Prime factorization of 2358 in exponential form is:

2358 = 21×32×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 2355 and 2358.

LCM(2355,2358) = 21×32×51×1311×1571
LCM(2355,2358) = 1851030

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 2358

List of positive integer factors of 2358 that divides 2358 without a remainder.

1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358

Least Common Multiple of 2355 and 2358 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 2358, than apply into the LCM equation.

GCF(2355,2358) = 3
LCM(2355,2358) = ( 2355 × 2358) / 3
LCM(2355,2358) = 5553090 / 3
LCM(2355,2358) = 1851030

Properties of LCM 2355 and 2358

(i) The LCM of 2358 and 2355 is associative

LCM of 2355 and 2358 = LCM of 2358 and 2355

Related Least Common Multiples of 2355

Related Least Common Multiples of 2358

Frequently Asked Questions on LCM of 2355 and 2358

1. What is the LCM of 2355 and 2358?

Answer: LCM of 2355 and 2358 is 1851030.

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 2358?

Answer: Factors of 2358 are 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358. There are 12 integers that are factors of 2358. The greatest factor of 2358 is 2358.

4. How to Find the LCM of 2355 and 2358?

Answer:

Least Common Multiple of 2355 and 2358 = 1851030

Step 1: Find the prime factorization of 2355

2355 = 3 x 5 x 157

Step 2: Find the prime factorization of 2358

2358 = 2 x 3 x 3 x 131

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

LCM = 1851030 = 2 x 3 x 3 x 5 x 131 x 157

Step 4: Therefore, the least common multiple of 2355 and 2358 is 1851030.