Least Common Multiple of 346 and 353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 346 and 353 the smallest integer that is 122138 that is divisible by both numbers.

Least Common Multiple (LCM) of 346 and 353 is 122138.

LCM(346,353) = 122138

LCM of 346 and 353

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

LCM of:
and

Least Common Multiple of 346 and 353

LCM of 346 and 353 is 122138

Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 353. First we will calculate the prime factors of 346 and 353.

Prime Factorization of 346


2 346
173 173
1

Prime factors of 346 are 2,173. Prime factorization of 346 in exponential form is:

346 = 21×1731

Prime Factorization of 353


353 353
1

Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:

353 = 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 346 and 353.

LCM(346,353) = 21×1731×3531
LCM(346,353) = 122138

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1, 353

Least Common Multiple of 346 and 353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 346 and 353, than apply into the LCM equation.

GCF(346,353) = 1
LCM(346,353) = ( 346 × 353) / 1
LCM(346,353) = 122138 / 1
LCM(346,353) = 122138

Properties of LCM 346 and 353

(i) The LCM of 353 and 346 is associative

LCM of 346 and 353 = LCM of 353 and 346

Related Least Common Multiples of 346

Related Least Common Multiples of 353

Frequently Asked Questions on LCM of 346 and 353

1. What is the LCM of 346 and 353?

Answer: LCM of 346 and 353 is 122138.

2. What are the Factors of 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

3. What are the Factors of 353?

Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.

4. How to Find the LCM of 346 and 353?

Answer:

Least Common Multiple of 346 and 353 = 122138

Step 1: Find the prime factorization of 346

346 = 2 x 173

Step 2: Find the prime factorization of 353

353 = 353

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

LCM = 122138 = 2 x 173 x 353

Step 4: Therefore, the least common multiple of 346 and 353 is 122138.