Least Common Multiple of 2346 and 2354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2346 and 2354 the smallest integer that is 2761242 that is divisible by both numbers.

Least Common Multiple (LCM) of 2346 and 2354 is 2761242.

LCM(2346,2354) = 2761242

LCM of 2346 and 2354

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

LCM of:
and

Least Common Multiple of 2346 and 2354

LCM of 2346 and 2354 is 2761242

Least common multiple can be found by multiplying the highest exponent prime factors of 2346 and 2354. First we will calculate the prime factors of 2346 and 2354.

Prime Factorization of 2346


2 2346
3 1173
17 391
23 23
1

Prime factors of 2346 are 2, 3, 17,23. Prime factorization of 2346 in exponential form is:

2346 = 21×31×171×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2346 and 2354.

LCM(2346,2354) = 21×31×111×171×231×1071
LCM(2346,2354) = 2761242

Factors of 2346

List of positive integer factors of 2346 that divides 2346 without a remainder.

1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346

Factors of 2354

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

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

Least Common Multiple of 2346 and 2354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2346 and 2354, than apply into the LCM equation.

GCF(2346,2354) = 2
LCM(2346,2354) = ( 2346 × 2354) / 2
LCM(2346,2354) = 5522484 / 2
LCM(2346,2354) = 2761242

Properties of LCM 2346 and 2354

(i) The LCM of 2354 and 2346 is associative

LCM of 2346 and 2354 = LCM of 2354 and 2346

Related Least Common Multiples of 2346

Related Least Common Multiples of 2354

Frequently Asked Questions on LCM of 2346 and 2354

1. What is the LCM of 2346 and 2354?

Answer: LCM of 2346 and 2354 is 2761242.

2. What are the Factors of 2346?

Answer: Factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346. There are 16 integers that are factors of 2346. The greatest factor of 2346 is 2346.

3. 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.

4. How to Find the LCM of 2346 and 2354?

Answer:

Least Common Multiple of 2346 and 2354 = 2761242

Step 1: Find the prime factorization of 2346

2346 = 2 x 3 x 17 x 23

Step 2: Find the prime factorization of 2354

2354 = 2 x 11 x 107

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

LCM = 2761242 = 2 x 3 x 11 x 17 x 23 x 107

Step 4: Therefore, the least common multiple of 2346 and 2354 is 2761242.