Least Common Multiple of 346 and 351

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 351 the smallest integer that is 121446 that is divisible by both numbers.

Least Common Multiple (LCM) of 346 and 351 is 121446.

LCM(346,351) = 121446

LCM of 346 and 351

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

LCM of:
and

Least Common Multiple of 346 and 351

LCM of 346 and 351 is 121446

Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 351. First we will calculate the prime factors of 346 and 351.

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 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 346 and 351.

LCM(346,351) = 21×33×131×1731
LCM(346,351) = 121446

Factors of 346

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

1, 2, 173, 346

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Least Common Multiple of 346 and 351 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 351, than apply into the LCM equation.

GCF(346,351) = 1
LCM(346,351) = ( 346 × 351) / 1
LCM(346,351) = 121446 / 1
LCM(346,351) = 121446

Properties of LCM 346 and 351

(i) The LCM of 351 and 346 is associative

LCM of 346 and 351 = LCM of 351 and 346

Related Least Common Multiples of 346

Related Least Common Multiples of 351

Frequently Asked Questions on LCM of 346 and 351

1. What is the LCM of 346 and 351?

Answer: LCM of 346 and 351 is 121446.

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 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

4. How to Find the LCM of 346 and 351?

Answer:

Least Common Multiple of 346 and 351 = 121446

Step 1: Find the prime factorization of 346

346 = 2 x 173

Step 2: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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

LCM = 121446 = 2 x 3 x 3 x 3 x 13 x 173

Step 4: Therefore, the least common multiple of 346 and 351 is 121446.