Least Common Multiple of 346 and 349

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 349 the smallest integer that is 120754 that is divisible by both numbers.

Least Common Multiple (LCM) of 346 and 349 is 120754.

LCM(346,349) = 120754

LCM of 346 and 349

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

LCM of:
and

Least Common Multiple of 346 and 349

LCM of 346 and 349 is 120754

Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 349. First we will calculate the prime factors of 346 and 349.

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 349


349 349
1

Prime factors of 349 are 349. Prime factorization of 349 in exponential form is:

349 = 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 346 and 349.

LCM(346,349) = 21×1731×3491
LCM(346,349) = 120754

Factors of 346

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

1, 2, 173, 346

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1, 349

Least Common Multiple of 346 and 349 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 349, than apply into the LCM equation.

GCF(346,349) = 1
LCM(346,349) = ( 346 × 349) / 1
LCM(346,349) = 120754 / 1
LCM(346,349) = 120754

Properties of LCM 346 and 349

(i) The LCM of 349 and 346 is associative

LCM of 346 and 349 = LCM of 349 and 346

Related Least Common Multiples of 346

Related Least Common Multiples of 349

Frequently Asked Questions on LCM of 346 and 349

1. What is the LCM of 346 and 349?

Answer: LCM of 346 and 349 is 120754.

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 349?

Answer: Factors of 349 are 1, 349. There are 2 integers that are factors of 349. The greatest factor of 349 is 349.

4. How to Find the LCM of 346 and 349?

Answer:

Least Common Multiple of 346 and 349 = 120754

Step 1: Find the prime factorization of 346

346 = 2 x 173

Step 2: Find the prime factorization of 349

349 = 349

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

LCM = 120754 = 2 x 173 x 349

Step 4: Therefore, the least common multiple of 346 and 349 is 120754.