Least Common Multiple of 2354 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 2354 and 2358 the smallest integer that is 2775366 that is divisible by both numbers.

Least Common Multiple (LCM) of 2354 and 2358 is 2775366.

LCM(2354,2358) = 2775366

LCM of 2354 and 2358

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

LCM of:
and

Least Common Multiple of 2354 and 2358

LCM of 2354 and 2358 is 2775366

Least common multiple can be found by multiplying the highest exponent prime factors of 2354 and 2358. First we will calculate the prime factors of 2354 and 2358.

Prime Factorization of 2354


2 2354
11 1177
107 107
1

Prime factors of 2354 are 2, 11,107. Prime factorization of 2354 in exponential form is:

2354 = 21×111×1071

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 2354 and 2358.

LCM(2354,2358) = 21×32×111×1071×1311
LCM(2354,2358) = 2775366

Factors of 2354

List of positive integer factors of 2354 that divides 2354 without a remainder.

1, 2, 11, 22, 107, 214, 1177, 2354

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 2354 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 2354 and 2358, than apply into the LCM equation.

GCF(2354,2358) = 2
LCM(2354,2358) = ( 2354 × 2358) / 2
LCM(2354,2358) = 5550732 / 2
LCM(2354,2358) = 2775366

Properties of LCM 2354 and 2358

(i) The LCM of 2358 and 2354 is associative

LCM of 2354 and 2358 = LCM of 2358 and 2354

Related Least Common Multiples of 2354

Related Least Common Multiples of 2358

Frequently Asked Questions on LCM of 2354 and 2358

1. What is the LCM of 2354 and 2358?

Answer: LCM of 2354 and 2358 is 2775366.

2. What are the Factors of 2354?

Answer: Factors of 2354 are 1, 2, 11, 22, 107, 214, 1177, 2354. There are 8 integers that are factors of 2354. The greatest factor of 2354 is 2354.

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 2354 and 2358?

Answer:

Least Common Multiple of 2354 and 2358 = 2775366

Step 1: Find the prime factorization of 2354

2354 = 2 x 11 x 107

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 = 2775366 = 2 x 3 x 3 x 11 x 107 x 131

Step 4: Therefore, the least common multiple of 2354 and 2358 is 2775366.