Least Common Multiple of 345 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 345 and 353 the smallest integer that is 121785 that is divisible by both numbers.

Least Common Multiple (LCM) of 345 and 353 is 121785.

LCM(345,353) = 121785

LCM of 345 and 353

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

LCM of:
and

Least Common Multiple of 345 and 353

LCM of 345 and 353 is 121785

Least common multiple can be found by multiplying the highest exponent prime factors of 345 and 353. First we will calculate the prime factors of 345 and 353.

Prime Factorization of 345


3 345
5 115
23 23
1

Prime factors of 345 are 3, 5,23. Prime factorization of 345 in exponential form is:

345 = 31×51×231

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 345 and 353.

LCM(345,353) = 31×51×231×3531
LCM(345,353) = 121785

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Factors of 353

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

1, 353

Least Common Multiple of 345 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 345 and 353, than apply into the LCM equation.

GCF(345,353) = 1
LCM(345,353) = ( 345 × 353) / 1
LCM(345,353) = 121785 / 1
LCM(345,353) = 121785

Properties of LCM 345 and 353

(i) The LCM of 353 and 345 is associative

LCM of 345 and 353 = LCM of 353 and 345

Related Least Common Multiples of 345

Related Least Common Multiples of 353

Frequently Asked Questions on LCM of 345 and 353

1. What is the LCM of 345 and 353?

Answer: LCM of 345 and 353 is 121785.

2. What are the Factors of 345?

Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.

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 345 and 353?

Answer:

Least Common Multiple of 345 and 353 = 121785

Step 1: Find the prime factorization of 345

345 = 3 x 5 x 23

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 = 121785 = 3 x 5 x 23 x 353

Step 4: Therefore, the least common multiple of 345 and 353 is 121785.