Least Common Multiple of 2358 and 2363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2358 and 2363 the smallest integer that is 5571954 that is divisible by both numbers.

Least Common Multiple (LCM) of 2358 and 2363 is 5571954.

LCM(2358,2363) = 5571954

LCM of 2358 and 2363

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

LCM of:
and

Least Common Multiple of 2358 and 2363

LCM of 2358 and 2363 is 5571954

Least common multiple can be found by multiplying the highest exponent prime factors of 2358 and 2363. First we will calculate the prime factors of 2358 and 2363.

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

Prime Factorization of 2363


17 2363
139 139
1

Prime factors of 2363 are 17,139. Prime factorization of 2363 in exponential form is:

2363 = 171×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2358 and 2363.

LCM(2358,2363) = 21×32×171×1311×1391
LCM(2358,2363) = 5571954

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

Factors of 2363

List of positive integer factors of 2363 that divides 2363 without a remainder.

1, 17, 139, 2363

Least Common Multiple of 2358 and 2363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2358 and 2363, than apply into the LCM equation.

GCF(2358,2363) = 1
LCM(2358,2363) = ( 2358 × 2363) / 1
LCM(2358,2363) = 5571954 / 1
LCM(2358,2363) = 5571954

Properties of LCM 2358 and 2363

(i) The LCM of 2363 and 2358 is associative

LCM of 2358 and 2363 = LCM of 2363 and 2358

Related Least Common Multiples of 2358

Related Least Common Multiples of 2363

Frequently Asked Questions on LCM of 2358 and 2363

1. What is the LCM of 2358 and 2363?

Answer: LCM of 2358 and 2363 is 5571954.

2. 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.

3. What are the Factors of 2363?

Answer: Factors of 2363 are 1, 17, 139, 2363. There are 4 integers that are factors of 2363. The greatest factor of 2363 is 2363.

4. How to Find the LCM of 2358 and 2363?

Answer:

Least Common Multiple of 2358 and 2363 = 5571954

Step 1: Find the prime factorization of 2358

2358 = 2 x 3 x 3 x 131

Step 2: Find the prime factorization of 2363

2363 = 17 x 139

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

LCM = 5571954 = 2 x 3 x 3 x 17 x 131 x 139

Step 4: Therefore, the least common multiple of 2358 and 2363 is 5571954.